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Finding the Fourth Proportional to 10,034.52, 13,843.92 and 6,499.68

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Solution

The fourth proportional to 10,034.52, 13,843.92 and 6,499.68 is: 8,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.52 : 13,843.92 = 6,499.68 : x
  2. Step 2: Convert to fraction form
    10,034.52/13,843.92 = 6,499.68/x
  3. Step 3: Cross multiply
    10,034.52x = 13,843.92 × 6,499.68
  4. Step 4: Simplify right side
    10,034.52x = 89,981,049.95
  5. Step 5: Solve for x
    x = 89,981,049.95/10,034.52
  6. Step 6: Final answer
    x = 8,967.15

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1.5x scale

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.