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Finding the Fourth Proportional to 27,659.68, 41,500.92 and 9,892.76

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Solution

The fourth proportional to 27,659.68, 41,500.92 and 9,892.76 is: 14,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.68 : 41,500.92 = 9,892.76 : x
  2. Step 2: Convert to fraction form
    27,659.68/41,500.92 = 9,892.76/x
  3. Step 3: Cross multiply
    27,659.68x = 41,500.92 × 9,892.76
  4. Step 4: Simplify right side
    27,659.68x = 410,558,641.34
  5. Step 5: Solve for x
    x = 410,558,641.34/27,659.68
  6. Step 6: Final answer
    x = 14,843.22

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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.