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Finding the Fourth Proportional to 23,193.47, 34,766.86 and 9,163.44

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Solution

The fourth proportional to 23,193.47, 34,766.86 and 9,163.44 is: 13,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.47 : 34,766.86 = 9,163.44 : x
  2. Step 2: Convert to fraction form
    23,193.47/34,766.86 = 9,163.44/x
  3. Step 3: Cross multiply
    23,193.47x = 34,766.86 × 9,163.44
  4. Step 4: Simplify right side
    23,193.47x = 318,584,035.60
  5. Step 5: Solve for x
    x = 318,584,035.60/23,193.47
  6. Step 6: Final answer
    x = 13,735.94

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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.