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Finding the Fourth Proportional to 6,698.63, 10,040.92 and 2,252.97

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Solution

The fourth proportional to 6,698.63, 10,040.92 and 2,252.97 is: 3,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.63 : 10,040.92 = 2,252.97 : x
  2. Step 2: Convert to fraction form
    6,698.63/10,040.92 = 2,252.97/x
  3. Step 3: Cross multiply
    6,698.63x = 10,040.92 × 2,252.97
  4. Step 4: Simplify right side
    6,698.63x = 22,621,885.90
  5. Step 5: Solve for x
    x = 22,621,885.90/6,698.63
  6. Step 6: Final answer
    x = 3,377.09

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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.