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Finding the Fourth Proportional to 10,098.38, 15,148.17 and 3,172.88

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Solution

The fourth proportional to 10,098.38, 15,148.17 and 3,172.88 is: 4,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.38 : 15,148.17 = 3,172.88 : x
  2. Step 2: Convert to fraction form
    10,098.38/15,148.17 = 3,172.88/x
  3. Step 3: Cross multiply
    10,098.38x = 15,148.17 × 3,172.88
  4. Step 4: Simplify right side
    10,098.38x = 48,063,249.89
  5. Step 5: Solve for x
    x = 48,063,249.89/10,098.38
  6. Step 6: Final answer
    x = 4,759.50

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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.