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Finding the Fourth Proportional to 10,654.32, 14,691.80 and 7,063.92

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Solution

The fourth proportional to 10,654.32, 14,691.80 and 7,063.92 is: 9,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.32 : 14,691.80 = 7,063.92 : x
  2. Step 2: Convert to fraction form
    10,654.32/14,691.80 = 7,063.92/x
  3. Step 3: Cross multiply
    10,654.32x = 14,691.80 × 7,063.92
  4. Step 4: Simplify right side
    10,654.32x = 103,781,699.86
  5. Step 5: Solve for x
    x = 103,781,699.86/10,654.32
  6. Step 6: Final answer
    x = 9,740.81

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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.