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Finding the Fourth Proportional to 8,548.47, 11,805.04 and 8,082.55

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Solution

The fourth proportional to 8,548.47, 11,805.04 and 8,082.55 is: 11,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.47 : 11,805.04 = 8,082.55 : x
  2. Step 2: Convert to fraction form
    8,548.47/11,805.04 = 8,082.55/x
  3. Step 3: Cross multiply
    8,548.47x = 11,805.04 × 8,082.55
  4. Step 4: Simplify right side
    8,548.47x = 95,414,850.91
  5. Step 5: Solve for x
    x = 95,414,850.91/8,548.47
  6. Step 6: Final answer
    x = 11,161.63

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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.