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Finding the Fourth Proportional to 10,140.71, 15,179.20 and 6,447.11

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Solution

The fourth proportional to 10,140.71, 15,179.20 and 6,447.11 is: 9,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.71 : 15,179.20 = 6,447.11 : x
  2. Step 2: Convert to fraction form
    10,140.71/15,179.20 = 6,447.11/x
  3. Step 3: Cross multiply
    10,140.71x = 15,179.20 × 6,447.11
  4. Step 4: Simplify right side
    10,140.71x = 97,861,972.11
  5. Step 5: Solve for x
    x = 97,861,972.11/10,140.71
  6. Step 6: Final answer
    x = 9,650.41

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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.