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Finding the Fourth Proportional to 10,414.80, 15,622.20 and 9,982.80

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Solution

The fourth proportional to 10,414.80, 15,622.20 and 9,982.80 is: 14,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.80 : 15,622.20 = 9,982.80 : x
  2. Step 2: Convert to fraction form
    10,414.80/15,622.20 = 9,982.80/x
  3. Step 3: Cross multiply
    10,414.80x = 15,622.20 × 9,982.80
  4. Step 4: Simplify right side
    10,414.80x = 155,953,298.16
  5. Step 5: Solve for x
    x = 155,953,298.16/10,414.80
  6. Step 6: Final answer
    x = 14,974.20

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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.