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Finding the Fourth Proportional to 10,982.70, 16,474.05 and 10,248.30

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Solution

The fourth proportional to 10,982.70, 16,474.05 and 10,248.30 is: 15,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.70 : 16,474.05 = 10,248.30 : x
  2. Step 2: Convert to fraction form
    10,982.70/16,474.05 = 10,248.30/x
  3. Step 3: Cross multiply
    10,982.70x = 16,474.05 × 10,248.30
  4. Step 4: Simplify right side
    10,982.70x = 168,831,006.62
  5. Step 5: Solve for x
    x = 168,831,006.62/10,982.70
  6. Step 6: Final answer
    x = 15,372.45

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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.