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Finding the Fourth Proportional to 10,591.39, 15,862.03 and 9,197.15

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Solution

The fourth proportional to 10,591.39, 15,862.03 and 9,197.15 is: 13,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.39 : 15,862.03 = 9,197.15 : x
  2. Step 2: Convert to fraction form
    10,591.39/15,862.03 = 9,197.15/x
  3. Step 3: Cross multiply
    10,591.39x = 15,862.03 × 9,197.15
  4. Step 4: Simplify right side
    10,591.39x = 145,885,537.61
  5. Step 5: Solve for x
    x = 145,885,537.61/10,591.39
  6. Step 6: Final answer
    x = 13,773.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.