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Finding the Fourth Proportional to 13,701.76, 20,535.92 and 7,446.88

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Solution

The fourth proportional to 13,701.76, 20,535.92 and 7,446.88 is: 11,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.76 : 20,535.92 = 7,446.88 : x
  2. Step 2: Convert to fraction form
    13,701.76/20,535.92 = 7,446.88/x
  3. Step 3: Cross multiply
    13,701.76x = 20,535.92 × 7,446.88
  4. Step 4: Simplify right side
    13,701.76x = 152,928,531.93
  5. Step 5: Solve for x
    x = 152,928,531.93/13,701.76
  6. Step 6: Final answer
    x = 11,161.23

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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.