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Finding the Fourth Proportional to 6,371.92, 9,563.64 and 2,676.88

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Solution

The fourth proportional to 6,371.92, 9,563.64 and 2,676.88 is: 4,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.92 : 9,563.64 = 2,676.88 : x
  2. Step 2: Convert to fraction form
    6,371.92/9,563.64 = 2,676.88/x
  3. Step 3: Cross multiply
    6,371.92x = 9,563.64 × 2,676.88
  4. Step 4: Simplify right side
    6,371.92x = 25,600,716.64
  5. Step 5: Solve for x
    x = 25,600,716.64/6,371.92
  6. Step 6: Final answer
    x = 4,017.74

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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.