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Finding the Fourth Proportional to 6,617.91, 9,922.41 and 3,494.64

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Solution

The fourth proportional to 6,617.91, 9,922.41 and 3,494.64 is: 5,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.91 : 9,922.41 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    6,617.91/9,922.41 = 3,494.64/x
  3. Step 3: Cross multiply
    6,617.91x = 9,922.41 × 3,494.64
  4. Step 4: Simplify right side
    6,617.91x = 34,675,250.88
  5. Step 5: Solve for x
    x = 34,675,250.88/6,617.91
  6. Step 6: Final answer
    x = 5,239.61

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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.