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Finding the Fourth Proportional to 7,231.38, 9,972.12 and 5,443.14

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Solution

The fourth proportional to 7,231.38, 9,972.12 and 5,443.14 is: 7,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.38 : 9,972.12 = 5,443.14 : x
  2. Step 2: Convert to fraction form
    7,231.38/9,972.12 = 5,443.14/x
  3. Step 3: Cross multiply
    7,231.38x = 9,972.12 × 5,443.14
  4. Step 4: Simplify right side
    7,231.38x = 54,279,645.26
  5. Step 5: Solve for x
    x = 54,279,645.26/7,231.38
  6. Step 6: Final answer
    x = 7,506.13

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.