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Finding the Fourth Proportional to 27,371.38, 41,057.07 and 6,594.88

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Solution

The fourth proportional to 27,371.38, 41,057.07 and 6,594.88 is: 9,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.38 : 41,057.07 = 6,594.88 : x
  2. Step 2: Convert to fraction form
    27,371.38/41,057.07 = 6,594.88/x
  3. Step 3: Cross multiply
    27,371.38x = 41,057.07 × 6,594.88
  4. Step 4: Simplify right side
    27,371.38x = 270,766,449.80
  5. Step 5: Solve for x
    x = 270,766,449.80/27,371.38
  6. Step 6: Final answer
    x = 9,892.32

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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.