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Finding the Fourth Proportional to 6,586.68, 9,885.27 and 3,468.53

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Solution

The fourth proportional to 6,586.68, 9,885.27 and 3,468.53 is: 5,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.68 : 9,885.27 = 3,468.53 : x
  2. Step 2: Convert to fraction form
    6,586.68/9,885.27 = 3,468.53/x
  3. Step 3: Cross multiply
    6,586.68x = 9,885.27 × 3,468.53
  4. Step 4: Simplify right side
    6,586.68x = 34,287,306.13
  5. Step 5: Solve for x
    x = 34,287,306.13/6,586.68
  6. Step 6: Final answer
    x = 5,205.55

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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.