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Finding the Fourth Proportional to 6,613.35, 9,909.50 and 3,493.23

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Solution

The fourth proportional to 6,613.35, 9,909.50 and 3,493.23 is: 5,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.35 : 9,909.50 = 3,493.23 : x
  2. Step 2: Convert to fraction form
    6,613.35/9,909.50 = 3,493.23/x
  3. Step 3: Cross multiply
    6,613.35x = 9,909.50 × 3,493.23
  4. Step 4: Simplify right side
    6,613.35x = 34,616,145.22
  5. Step 5: Solve for x
    x = 34,616,145.22/6,613.35
  6. Step 6: Final answer
    x = 5,234.28

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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.