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Finding the Fourth Proportional to 6,149.80, 9,221.44 and 2,683

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Solution

The fourth proportional to 6,149.80, 9,221.44 and 2,683 is: 4,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.80 : 9,221.44 = 2,683 : x
  2. Step 2: Convert to fraction form
    6,149.80/9,221.44 = 2,683/x
  3. Step 3: Cross multiply
    6,149.80x = 9,221.44 × 2,683
  4. Step 4: Simplify right side
    6,149.80x = 24,741,123.52
  5. Step 5: Solve for x
    x = 24,741,123.52/6,149.80
  6. Step 6: Final answer
    x = 4,023.08

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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.