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Finding the Fourth Proportional to 12,991.92, 19,489.92 and 4,224.78

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Solution

The fourth proportional to 12,991.92, 19,489.92 and 4,224.78 is: 6,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.92 : 19,489.92 = 4,224.78 : x
  2. Step 2: Convert to fraction form
    12,991.92/19,489.92 = 4,224.78/x
  3. Step 3: Cross multiply
    12,991.92x = 19,489.92 × 4,224.78
  4. Step 4: Simplify right side
    12,991.92x = 82,340,624.22
  5. Step 5: Solve for x
    x = 82,340,624.22/12,991.92
  6. Step 6: Final answer
    x = 6,337.83

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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.