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Finding the Fourth Proportional to 9,006.50, 13,524.69 and 5,565.62

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Solution

The fourth proportional to 9,006.50, 13,524.69 and 5,565.62 is: 8,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.50 : 13,524.69 = 5,565.62 : x
  2. Step 2: Convert to fraction form
    9,006.50/13,524.69 = 5,565.62/x
  3. Step 3: Cross multiply
    9,006.50x = 13,524.69 × 5,565.62
  4. Step 4: Simplify right side
    9,006.50x = 75,273,285.16
  5. Step 5: Solve for x
    x = 75,273,285.16/9,006.50
  6. Step 6: Final answer
    x = 8,357.66

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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.