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Finding the Fourth Proportional to 8,676, 11,974.50 and 4,950

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Solution

The fourth proportional to 8,676, 11,974.50 and 4,950 is: 6,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676 : 11,974.50 = 4,950 : x
  2. Step 2: Convert to fraction form
    8,676/11,974.50 = 4,950/x
  3. Step 3: Cross multiply
    8,676x = 11,974.50 × 4,950
  4. Step 4: Simplify right side
    8,676x = 59,273,775
  5. Step 5: Solve for x
    x = 59,273,775/8,676
  6. Step 6: Final answer
    x = 6,831.92

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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.