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Finding the Fourth Proportional to 6,160.92, 9,239.10 and 2,462.04

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Solution

The fourth proportional to 6,160.92, 9,239.10 and 2,462.04 is: 3,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.92 : 9,239.10 = 2,462.04 : x
  2. Step 2: Convert to fraction form
    6,160.92/9,239.10 = 2,462.04/x
  3. Step 3: Cross multiply
    6,160.92x = 9,239.10 × 2,462.04
  4. Step 4: Simplify right side
    6,160.92x = 22,747,033.76
  5. Step 5: Solve for x
    x = 22,747,033.76/6,160.92
  6. Step 6: Final answer
    x = 3,692.15

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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.