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Finding the Fourth Proportional to 27,691.50, 41,537.07 and 6,915

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Solution

The fourth proportional to 27,691.50, 41,537.07 and 6,915 is: 10,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.50 : 41,537.07 = 6,915 : x
  2. Step 2: Convert to fraction form
    27,691.50/41,537.07 = 6,915/x
  3. Step 3: Cross multiply
    27,691.50x = 41,537.07 × 6,915
  4. Step 4: Simplify right side
    27,691.50x = 287,228,839.05
  5. Step 5: Solve for x
    x = 287,228,839.05/27,691.50
  6. Step 6: Final answer
    x = 10,372.46

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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.