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Finding the Fourth Proportional to 6,851.82, 10,277.65 and 2,171.82

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Solution

The fourth proportional to 6,851.82, 10,277.65 and 2,171.82 is: 3,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.82 : 10,277.65 = 2,171.82 : x
  2. Step 2: Convert to fraction form
    6,851.82/10,277.65 = 2,171.82/x
  3. Step 3: Cross multiply
    6,851.82x = 10,277.65 × 2,171.82
  4. Step 4: Simplify right side
    6,851.82x = 22,321,247.08
  5. Step 5: Solve for x
    x = 22,321,247.08/6,851.82
  6. Step 6: Final answer
    x = 3,257.71

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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.