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Finding the Fourth Proportional to 6,616.92, 9,917.82 and 2,716.50

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Solution

The fourth proportional to 6,616.92, 9,917.82 and 2,716.50 is: 4,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.92 : 9,917.82 = 2,716.50 : x
  2. Step 2: Convert to fraction form
    6,616.92/9,917.82 = 2,716.50/x
  3. Step 3: Cross multiply
    6,616.92x = 9,917.82 × 2,716.50
  4. Step 4: Simplify right side
    6,616.92x = 26,941,758.03
  5. Step 5: Solve for x
    x = 26,941,758.03/6,616.92
  6. Step 6: Final answer
    x = 4,071.65

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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.