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Finding the Fourth Proportional to 6,597.62, 9,891.02 and 3,085.90

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Solution

The fourth proportional to 6,597.62, 9,891.02 and 3,085.90 is: 4,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.62 : 9,891.02 = 3,085.90 : x
  2. Step 2: Convert to fraction form
    6,597.62/9,891.02 = 3,085.90/x
  3. Step 3: Cross multiply
    6,597.62x = 9,891.02 × 3,085.90
  4. Step 4: Simplify right side
    6,597.62x = 30,522,681.61
  5. Step 5: Solve for x
    x = 30,522,681.61/6,597.62
  6. Step 6: Final answer
    x = 4,626.32

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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.