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Finding the Fourth Proportional to 8,158.67, 12,238.26 and 3,883.48

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Solution

The fourth proportional to 8,158.67, 12,238.26 and 3,883.48 is: 5,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.67 : 12,238.26 = 3,883.48 : x
  2. Step 2: Convert to fraction form
    8,158.67/12,238.26 = 3,883.48/x
  3. Step 3: Cross multiply
    8,158.67x = 12,238.26 × 3,883.48
  4. Step 4: Simplify right side
    8,158.67x = 47,526,957.34
  5. Step 5: Solve for x
    x = 47,526,957.34/8,158.67
  6. Step 6: Final answer
    x = 5,825.33

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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.