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Finding the Fourth Proportional to 6,613.02, 9,901.76 and 3,486.53

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Solution

The fourth proportional to 6,613.02, 9,901.76 and 3,486.53 is: 5,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.02 : 9,901.76 = 3,486.53 : x
  2. Step 2: Convert to fraction form
    6,613.02/9,901.76 = 3,486.53/x
  3. Step 3: Cross multiply
    6,613.02x = 9,901.76 × 3,486.53
  4. Step 4: Simplify right side
    6,613.02x = 34,522,790.61
  5. Step 5: Solve for x
    x = 34,522,790.61/6,613.02
  6. Step 6: Final answer
    x = 5,220.43

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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.