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Finding the Fourth Proportional to 10,930.70, 16,415.85 and 9,569.90

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Solution

The fourth proportional to 10,930.70, 16,415.85 and 9,569.90 is: 14,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.70 : 16,415.85 = 9,569.90 : x
  2. Step 2: Convert to fraction form
    10,930.70/16,415.85 = 9,569.90/x
  3. Step 3: Cross multiply
    10,930.70x = 16,415.85 × 9,569.90
  4. Step 4: Simplify right side
    10,930.70x = 157,098,042.92
  5. Step 5: Solve for x
    x = 157,098,042.92/10,930.70
  6. Step 6: Final answer
    x = 14,372.19

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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.