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Finding the Fourth Proportional to 6,648.75, 9,974.75 and 2,031.75

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Solution

The fourth proportional to 6,648.75, 9,974.75 and 2,031.75 is: 3,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.75 : 9,974.75 = 2,031.75 : x
  2. Step 2: Convert to fraction form
    6,648.75/9,974.75 = 2,031.75/x
  3. Step 3: Cross multiply
    6,648.75x = 9,974.75 × 2,031.75
  4. Step 4: Simplify right side
    6,648.75x = 20,266,188.15
  5. Step 5: Solve for x
    x = 20,266,188.15/6,648.75
  6. Step 6: Final answer
    x = 3,048.12

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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.