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Finding the Fourth Proportional to 6,613.42, 9,920.67 and 3,324.82

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Solution

The fourth proportional to 6,613.42, 9,920.67 and 3,324.82 is: 4,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.42 : 9,920.67 = 3,324.82 : x
  2. Step 2: Convert to fraction form
    6,613.42/9,920.67 = 3,324.82/x
  3. Step 3: Cross multiply
    6,613.42x = 9,920.67 × 3,324.82
  4. Step 4: Simplify right side
    6,613.42x = 32,984,442.03
  5. Step 5: Solve for x
    x = 32,984,442.03/6,613.42
  6. Step 6: Final answer
    x = 4,987.50

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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.