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Finding the Fourth Proportional to 7,147.78, 9,863.64 and 4,163.61

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Solution

The fourth proportional to 7,147.78, 9,863.64 and 4,163.61 is: 5,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.78 : 9,863.64 = 4,163.61 : x
  2. Step 2: Convert to fraction form
    7,147.78/9,863.64 = 4,163.61/x
  3. Step 3: Cross multiply
    7,147.78x = 9,863.64 × 4,163.61
  4. Step 4: Simplify right side
    7,147.78x = 41,068,350.14
  5. Step 5: Solve for x
    x = 41,068,350.14/7,147.78
  6. Step 6: Final answer
    x = 5,745.61

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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.