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Finding the Fourth Proportional to 10,082.46, 13,908.46 and 5,991.92

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Solution

The fourth proportional to 10,082.46, 13,908.46 and 5,991.92 is: 8,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.46 : 13,908.46 = 5,991.92 : x
  2. Step 2: Convert to fraction form
    10,082.46/13,908.46 = 5,991.92/x
  3. Step 3: Cross multiply
    10,082.46x = 13,908.46 × 5,991.92
  4. Step 4: Simplify right side
    10,082.46x = 83,338,379.64
  5. Step 5: Solve for x
    x = 83,338,379.64/10,082.46
  6. Step 6: Final answer
    x = 8,265.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.