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Finding the Fourth Proportional to 27,481.68, 41,217.86 and 7,756.76

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Solution

The fourth proportional to 27,481.68, 41,217.86 and 7,756.76 is: 11,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.68 : 41,217.86 = 7,756.76 : x
  2. Step 2: Convert to fraction form
    27,481.68/41,217.86 = 7,756.76/x
  3. Step 3: Cross multiply
    27,481.68x = 41,217.86 × 7,756.76
  4. Step 4: Simplify right side
    27,481.68x = 319,717,170.17
  5. Step 5: Solve for x
    x = 319,717,170.17/27,481.68
  6. Step 6: Final answer
    x = 11,633.83

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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.