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Finding the Fourth Proportional to 6,169.37, 8,508.24 and 4,494.69

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Solution

The fourth proportional to 6,169.37, 8,508.24 and 4,494.69 is: 6,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.37 : 8,508.24 = 4,494.69 : x
  2. Step 2: Convert to fraction form
    6,169.37/8,508.24 = 4,494.69/x
  3. Step 3: Cross multiply
    6,169.37x = 8,508.24 × 4,494.69
  4. Step 4: Simplify right side
    6,169.37x = 38,241,901.25
  5. Step 5: Solve for x
    x = 38,241,901.25/6,169.37
  6. Step 6: Final answer
    x = 6,198.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.