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Finding the Fourth Proportional to 7,198.39, 9,940.89 and 4,966.03

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Solution

The fourth proportional to 7,198.39, 9,940.89 and 4,966.03 is: 6,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.39 : 9,940.89 = 4,966.03 : x
  2. Step 2: Convert to fraction form
    7,198.39/9,940.89 = 4,966.03/x
  3. Step 3: Cross multiply
    7,198.39x = 9,940.89 × 4,966.03
  4. Step 4: Simplify right side
    7,198.39x = 49,366,757.97
  5. Step 5: Solve for x
    x = 49,366,757.97/7,198.39
  6. Step 6: Final answer
    x = 6,858.03

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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.