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Finding the Fourth Proportional to 19,882.80, 29,820.24 and 6,734.88

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Solution

The fourth proportional to 19,882.80, 29,820.24 and 6,734.88 is: 10,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.80 : 29,820.24 = 6,734.88 : x
  2. Step 2: Convert to fraction form
    19,882.80/29,820.24 = 6,734.88/x
  3. Step 3: Cross multiply
    19,882.80x = 29,820.24 × 6,734.88
  4. Step 4: Simplify right side
    19,882.80x = 200,835,737.97
  5. Step 5: Solve for x
    x = 200,835,737.97/19,882.80
  6. Step 6: Final answer
    x = 10,100.98

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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.