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Finding the Fourth Proportional to 6,593.38, 9,098.82 and 3,568.48

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Solution

The fourth proportional to 6,593.38, 9,098.82 and 3,568.48 is: 4,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.38 : 9,098.82 = 3,568.48 : x
  2. Step 2: Convert to fraction form
    6,593.38/9,098.82 = 3,568.48/x
  3. Step 3: Cross multiply
    6,593.38x = 9,098.82 × 3,568.48
  4. Step 4: Simplify right side
    6,593.38x = 32,468,934.45
  5. Step 5: Solve for x
    x = 32,468,934.45/6,593.38
  6. Step 6: Final answer
    x = 4,924.48

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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.