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Finding the Fourth Proportional to 6,616.08, 9,926.87 and 3,696.44

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Solution

The fourth proportional to 6,616.08, 9,926.87 and 3,696.44 is: 5,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.08 : 9,926.87 = 3,696.44 : x
  2. Step 2: Convert to fraction form
    6,616.08/9,926.87 = 3,696.44/x
  3. Step 3: Cross multiply
    6,616.08x = 9,926.87 × 3,696.44
  4. Step 4: Simplify right side
    6,616.08x = 36,694,011.23
  5. Step 5: Solve for x
    x = 36,694,011.23/6,616.08
  6. Step 6: Final answer
    x = 5,546.19

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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.