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Finding the Fourth Proportional to 9,654.57, 13,330.11 and 7,532.42

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Solution

The fourth proportional to 9,654.57, 13,330.11 and 7,532.42 is: 10,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.57 : 13,330.11 = 7,532.42 : x
  2. Step 2: Convert to fraction form
    9,654.57/13,330.11 = 7,532.42/x
  3. Step 3: Cross multiply
    9,654.57x = 13,330.11 × 7,532.42
  4. Step 4: Simplify right side
    9,654.57x = 100,407,920.52
  5. Step 5: Solve for x
    x = 100,407,920.52/9,654.57
  6. Step 6: Final answer
    x = 10,400.04

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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.