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Finding the Fourth Proportional to 8,053.67, 12,082.19 and 2,431.46

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Solution

The fourth proportional to 8,053.67, 12,082.19 and 2,431.46 is: 3,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.67 : 12,082.19 = 2,431.46 : x
  2. Step 2: Convert to fraction form
    8,053.67/12,082.19 = 2,431.46/x
  3. Step 3: Cross multiply
    8,053.67x = 12,082.19 × 2,431.46
  4. Step 4: Simplify right side
    8,053.67x = 29,377,361.70
  5. Step 5: Solve for x
    x = 29,377,361.70/8,053.67
  6. Step 6: Final answer
    x = 3,647.70

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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.