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Finding the Fourth Proportional to 27,658.54, 41,487.82 and 6,882.04

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Solution

The fourth proportional to 27,658.54, 41,487.82 and 6,882.04 is: 10,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.54 : 41,487.82 = 6,882.04 : x
  2. Step 2: Convert to fraction form
    27,658.54/41,487.82 = 6,882.04/x
  3. Step 3: Cross multiply
    27,658.54x = 41,487.82 × 6,882.04
  4. Step 4: Simplify right side
    27,658.54x = 285,520,819.55
  5. Step 5: Solve for x
    x = 285,520,819.55/27,658.54
  6. Step 6: Final answer
    x = 10,323.06

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1.5x scale

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.