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Finding the Fourth Proportional to 6,609.25, 9,912.74 and 2,166.83

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Solution

The fourth proportional to 6,609.25, 9,912.74 and 2,166.83 is: 3,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.25 : 9,912.74 = 2,166.83 : x
  2. Step 2: Convert to fraction form
    6,609.25/9,912.74 = 2,166.83/x
  3. Step 3: Cross multiply
    6,609.25x = 9,912.74 × 2,166.83
  4. Step 4: Simplify right side
    6,609.25x = 21,479,172.85
  5. Step 5: Solve for x
    x = 21,479,172.85/6,609.25
  6. Step 6: Final answer
    x = 3,249.87

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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.