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Finding the Fourth Proportional to 13,773.92, 20,660.92 and 3,778.82

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Solution

The fourth proportional to 13,773.92, 20,660.92 and 3,778.82 is: 5,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.92 : 20,660.92 = 3,778.82 : x
  2. Step 2: Convert to fraction form
    13,773.92/20,660.92 = 3,778.82/x
  3. Step 3: Cross multiply
    13,773.92x = 20,660.92 × 3,778.82
  4. Step 4: Simplify right side
    13,773.92x = 78,073,792.46
  5. Step 5: Solve for x
    x = 78,073,792.46/13,773.92
  6. Step 6: Final answer
    x = 5,668.23

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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.