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Finding the Fourth Proportional to 11,738.97, 16,198.22 and 6,702.87

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Solution

The fourth proportional to 11,738.97, 16,198.22 and 6,702.87 is: 9,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.97 : 16,198.22 = 6,702.87 : x
  2. Step 2: Convert to fraction form
    11,738.97/16,198.22 = 6,702.87/x
  3. Step 3: Cross multiply
    11,738.97x = 16,198.22 × 6,702.87
  4. Step 4: Simplify right side
    11,738.97x = 108,574,529.38
  5. Step 5: Solve for x
    x = 108,574,529.38/11,738.97
  6. Step 6: Final answer
    x = 9,249.07

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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.