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Finding the Fourth Proportional to 12,397.50, 18,573.17 and 6,150.38

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Solution

The fourth proportional to 12,397.50, 18,573.17 and 6,150.38 is: 9,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.50 : 18,573.17 = 6,150.38 : x
  2. Step 2: Convert to fraction form
    12,397.50/18,573.17 = 6,150.38/x
  3. Step 3: Cross multiply
    12,397.50x = 18,573.17 × 6,150.38
  4. Step 4: Simplify right side
    12,397.50x = 114,231,929.69
  5. Step 5: Solve for x
    x = 114,231,929.69/12,397.50
  6. Step 6: Final answer
    x = 9,214.11

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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.