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Finding the Fourth Proportional to 6,616.33, 9,917.65 and 4,967.88

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Solution

The fourth proportional to 6,616.33, 9,917.65 and 4,967.88 is: 7,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.33 : 9,917.65 = 4,967.88 : x
  2. Step 2: Convert to fraction form
    6,616.33/9,917.65 = 4,967.88/x
  3. Step 3: Cross multiply
    6,616.33x = 9,917.65 × 4,967.88
  4. Step 4: Simplify right side
    6,616.33x = 49,269,664.10
  5. Step 5: Solve for x
    x = 49,269,664.10/6,616.33
  6. Step 6: Final answer
    x = 7,446.68

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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.