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Finding the Fourth Proportional to 10,691.01, 14,757.69 and 9,569.97

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Solution

The fourth proportional to 10,691.01, 14,757.69 and 9,569.97 is: 13,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.01 : 14,757.69 = 9,569.97 : x
  2. Step 2: Convert to fraction form
    10,691.01/14,757.69 = 9,569.97/x
  3. Step 3: Cross multiply
    10,691.01x = 14,757.69 × 9,569.97
  4. Step 4: Simplify right side
    10,691.01x = 141,230,650.57
  5. Step 5: Solve for x
    x = 141,230,650.57/10,691.01
  6. Step 6: Final answer
    x = 13,210.23

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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.