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Finding the Fourth Proportional to 17,757.71, 24,504.86 and 9,691.16

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Solution

The fourth proportional to 17,757.71, 24,504.86 and 9,691.16 is: 13,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.71 : 24,504.86 = 9,691.16 : x
  2. Step 2: Convert to fraction form
    17,757.71/24,504.86 = 9,691.16/x
  3. Step 3: Cross multiply
    17,757.71x = 24,504.86 × 9,691.16
  4. Step 4: Simplify right side
    17,757.71x = 237,480,348.06
  5. Step 5: Solve for x
    x = 237,480,348.06/17,757.71
  6. Step 6: Final answer
    x = 13,373.37

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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.