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Finding the Fourth Proportional to 6,716.25, 10,078.07 and 3,253.50

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Solution

The fourth proportional to 6,716.25, 10,078.07 and 3,253.50 is: 4,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.25 : 10,078.07 = 3,253.50 : x
  2. Step 2: Convert to fraction form
    6,716.25/10,078.07 = 3,253.50/x
  3. Step 3: Cross multiply
    6,716.25x = 10,078.07 × 3,253.50
  4. Step 4: Simplify right side
    6,716.25x = 32,789,002.78
  5. Step 5: Solve for x
    x = 32,789,002.78/6,716.25
  6. Step 6: Final answer
    x = 4,882.04

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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.