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Finding the Fourth Proportional to 6,721.38, 9,275.46 and 3,737.19

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Solution

The fourth proportional to 6,721.38, 9,275.46 and 3,737.19 is: 5,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.38 : 9,275.46 = 3,737.19 : x
  2. Step 2: Convert to fraction form
    6,721.38/9,275.46 = 3,737.19/x
  3. Step 3: Cross multiply
    6,721.38x = 9,275.46 × 3,737.19
  4. Step 4: Simplify right side
    6,721.38x = 34,664,166.74
  5. Step 5: Solve for x
    x = 34,664,166.74/6,721.38
  6. Step 6: Final answer
    x = 5,157.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.