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Finding the Fourth Proportional to 13,753.68, 20,611.89 and 9,849.48

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Solution

The fourth proportional to 13,753.68, 20,611.89 and 9,849.48 is: 14,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.68 : 20,611.89 = 9,849.48 : x
  2. Step 2: Convert to fraction form
    13,753.68/20,611.89 = 9,849.48/x
  3. Step 3: Cross multiply
    13,753.68x = 20,611.89 × 9,849.48
  4. Step 4: Simplify right side
    13,753.68x = 203,016,398.32
  5. Step 5: Solve for x
    x = 203,016,398.32/13,753.68
  6. Step 6: Final answer
    x = 14,760.88

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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.