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Finding the Fourth Proportional to 5,998.80, 8,974.17 and 5,185.83

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Solution

The fourth proportional to 5,998.80, 8,974.17 and 5,185.83 is: 7,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.80 : 8,974.17 = 5,185.83 : x
  2. Step 2: Convert to fraction form
    5,998.80/8,974.17 = 5,185.83/x
  3. Step 3: Cross multiply
    5,998.80x = 8,974.17 × 5,185.83
  4. Step 4: Simplify right side
    5,998.80x = 46,538,520.01
  5. Step 5: Solve for x
    x = 46,538,520.01/5,998.80
  6. Step 6: Final answer
    x = 7,757.97

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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.