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Proportion examples

Practice solving proportions with worked answers. Start with basic missing values, then try word problems, decimal proportions, and mixed practice.

Missing denominator

Solve for the missing denominator

4 / 5 = 24 / x

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Answer: x = 30

  1. 4x = 24 x 5
  2. 4x = 120
  3. x = 30

Missing numerator

Solve for the missing numerator

x / 12 = 21 / 36

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Answer: x = 7

  1. 36x = 12 x 21
  2. 36x = 252
  3. x = 7

Equivalent ratios

Scale an equivalent ratio

7 / 12 = x / 96

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Answer: x = 56

  1. 12x = 96 x 7
  2. 12x = 672
  3. x = 56

Word problems

Recipe scaling

2 cups / 8 servings = x cups / 20 servings

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Answer: x = 5 cups

  1. 8x = 2 x 20
  2. 8x = 40
  3. x = 5

Map scale

1 inch / 5 miles = 3.5 inches / x miles

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Answer: x = 17.5 miles

  1. x = 5 x 3.5
  2. x = 17.5

Unit price

6 items / $18 = 10 items / $x

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Answer: x = 30

  1. 6x = 18 x 10
  2. 6x = 180
  3. x = 30

Decimals

Solve with decimals

1.5 / 4 = x / 12

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Answer: x = 4.5

  1. 4x = 1.5 x 12
  2. 4x = 18
  3. x = 4.5

Mixed practice

Solve a larger proportion

18 / 45 = 42 / x

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Answer: x = 105

  1. 18x = 45 x 42
  2. 18x = 1890
  3. x = 105