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Finding the Fourth Proportional to 6,293.70, 9,438.39 and 2,132.73

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Solution

The fourth proportional to 6,293.70, 9,438.39 and 2,132.73 is: 3,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.70 : 9,438.39 = 2,132.73 : x
  2. Step 2: Convert to fraction form
    6,293.70/9,438.39 = 2,132.73/x
  3. Step 3: Cross multiply
    6,293.70x = 9,438.39 × 2,132.73
  4. Step 4: Simplify right side
    6,293.70x = 20,129,537.50
  5. Step 5: Solve for x
    x = 20,129,537.50/6,293.70
  6. Step 6: Final answer
    x = 3,198.36

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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.