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Finding the Fourth Proportional to 6,737.52, 10,099.80 and 3,452.16

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Solution

The fourth proportional to 6,737.52, 10,099.80 and 3,452.16 is: 5,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.52 : 10,099.80 = 3,452.16 : x
  2. Step 2: Convert to fraction form
    6,737.52/10,099.80 = 3,452.16/x
  3. Step 3: Cross multiply
    6,737.52x = 10,099.80 × 3,452.16
  4. Step 4: Simplify right side
    6,737.52x = 34,866,125.57
  5. Step 5: Solve for x
    x = 34,866,125.57/6,737.52
  6. Step 6: Final answer
    x = 5,174.92

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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.