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Finding the Fourth Proportional to 6,503.52, 9,755.24 and 3,381.92

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Solution

The fourth proportional to 6,503.52, 9,755.24 and 3,381.92 is: 5,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.52 : 9,755.24 = 3,381.92 : x
  2. Step 2: Convert to fraction form
    6,503.52/9,755.24 = 3,381.92/x
  3. Step 3: Cross multiply
    6,503.52x = 9,755.24 × 3,381.92
  4. Step 4: Simplify right side
    6,503.52x = 32,991,375.58
  5. Step 5: Solve for x
    x = 32,991,375.58/6,503.52
  6. Step 6: Final answer
    x = 5,072.85

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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.