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Finding the Fourth Proportional to 6,613.40, 9,920.48 and 2,397.57

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Solution

The fourth proportional to 6,613.40, 9,920.48 and 2,397.57 is: 3,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.40 : 9,920.48 = 2,397.57 : x
  2. Step 2: Convert to fraction form
    6,613.40/9,920.48 = 2,397.57/x
  3. Step 3: Cross multiply
    6,613.40x = 9,920.48 × 2,397.57
  4. Step 4: Simplify right side
    6,613.40x = 23,785,033.25
  5. Step 5: Solve for x
    x = 23,785,033.25/6,613.40
  6. Step 6: Final answer
    x = 3,596.49

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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.