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Finding the Fourth Proportional to 12,115.50, 18,180.90 and 6,572.70

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Solution

The fourth proportional to 12,115.50, 18,180.90 and 6,572.70 is: 9,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.50 : 18,180.90 = 6,572.70 : x
  2. Step 2: Convert to fraction form
    12,115.50/18,180.90 = 6,572.70/x
  3. Step 3: Cross multiply
    12,115.50x = 18,180.90 × 6,572.70
  4. Step 4: Simplify right side
    12,115.50x = 119,497,601.43
  5. Step 5: Solve for x
    x = 119,497,601.43/12,115.50
  6. Step 6: Final answer
    x = 9,863.20

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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.