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Finding the Fourth Proportional to 6,367.72, 9,546.78 and 4,177

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Solution

The fourth proportional to 6,367.72, 9,546.78 and 4,177 is: 6,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.72 : 9,546.78 = 4,177 : x
  2. Step 2: Convert to fraction form
    6,367.72/9,546.78 = 4,177/x
  3. Step 3: Cross multiply
    6,367.72x = 9,546.78 × 4,177
  4. Step 4: Simplify right side
    6,367.72x = 39,876,900.06
  5. Step 5: Solve for x
    x = 39,876,900.06/6,367.72
  6. Step 6: Final answer
    x = 6,262.35

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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.