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Finding the Fourth Proportional to 6,687.92, 9,229.84 and 4,170.33

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Solution

The fourth proportional to 6,687.92, 9,229.84 and 4,170.33 is: 5,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.92 : 9,229.84 = 4,170.33 : x
  2. Step 2: Convert to fraction form
    6,687.92/9,229.84 = 4,170.33/x
  3. Step 3: Cross multiply
    6,687.92x = 9,229.84 × 4,170.33
  4. Step 4: Simplify right side
    6,687.92x = 38,491,468.22
  5. Step 5: Solve for x
    x = 38,491,468.22/6,687.92
  6. Step 6: Final answer
    x = 5,755.37

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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.