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Finding the Fourth Proportional to 6,304.88, 9,454.44 and 2,198

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Solution

The fourth proportional to 6,304.88, 9,454.44 and 2,198 is: 3,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.88 : 9,454.44 = 2,198 : x
  2. Step 2: Convert to fraction form
    6,304.88/9,454.44 = 2,198/x
  3. Step 3: Cross multiply
    6,304.88x = 9,454.44 × 2,198
  4. Step 4: Simplify right side
    6,304.88x = 20,780,859.12
  5. Step 5: Solve for x
    x = 20,780,859.12/6,304.88
  6. Step 6: Final answer
    x = 3,296.00

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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.