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Finding the Fourth Proportional to 13,877.67, 20,824.20 and 6,086.28

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Solution

The fourth proportional to 13,877.67, 20,824.20 and 6,086.28 is: 9,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.67 : 20,824.20 = 6,086.28 : x
  2. Step 2: Convert to fraction form
    13,877.67/20,824.20 = 6,086.28/x
  3. Step 3: Cross multiply
    13,877.67x = 20,824.20 × 6,086.28
  4. Step 4: Simplify right side
    13,877.67x = 126,741,911.98
  5. Step 5: Solve for x
    x = 126,741,911.98/13,877.67
  6. Step 6: Final answer
    x = 9,132.79

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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.