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Finding the Fourth Proportional to 8,163.73, 11,255.22 and 5,893.17

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Solution

The fourth proportional to 8,163.73, 11,255.22 and 5,893.17 is: 8,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.73 : 11,255.22 = 5,893.17 : x
  2. Step 2: Convert to fraction form
    8,163.73/11,255.22 = 5,893.17/x
  3. Step 3: Cross multiply
    8,163.73x = 11,255.22 × 5,893.17
  4. Step 4: Simplify right side
    8,163.73x = 66,328,924.85
  5. Step 5: Solve for x
    x = 66,328,924.85/8,163.73
  6. Step 6: Final answer
    x = 8,124.83

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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.