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Finding the Fourth Proportional to 6,092.56, 9,138.84 and 2,447.12

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Solution

The fourth proportional to 6,092.56, 9,138.84 and 2,447.12 is: 3,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.56 : 9,138.84 = 2,447.12 : x
  2. Step 2: Convert to fraction form
    6,092.56/9,138.84 = 2,447.12/x
  3. Step 3: Cross multiply
    6,092.56x = 9,138.84 × 2,447.12
  4. Step 4: Simplify right side
    6,092.56x = 22,363,838.14
  5. Step 5: Solve for x
    x = 22,363,838.14/6,092.56
  6. Step 6: Final answer
    x = 3,670.68

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Double scale
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Similar ratio
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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.