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Finding the Fourth Proportional to 13,882.44, 20,823.92 and 6,484.88

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Solution

The fourth proportional to 13,882.44, 20,823.92 and 6,484.88 is: 9,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.44 : 20,823.92 = 6,484.88 : x
  2. Step 2: Convert to fraction form
    13,882.44/20,823.92 = 6,484.88/x
  3. Step 3: Cross multiply
    13,882.44x = 20,823.92 × 6,484.88
  4. Step 4: Simplify right side
    13,882.44x = 135,040,622.33
  5. Step 5: Solve for x
    x = 135,040,622.33/13,882.44
  6. Step 6: Final answer
    x = 9,727.44

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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.