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Finding the Fourth Proportional to 6,098.64, 9,149.28 and 2,203

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Solution

The fourth proportional to 6,098.64, 9,149.28 and 2,203 is: 3,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.64 : 9,149.28 = 2,203 : x
  2. Step 2: Convert to fraction form
    6,098.64/9,149.28 = 2,203/x
  3. Step 3: Cross multiply
    6,098.64x = 9,149.28 × 2,203
  4. Step 4: Simplify right side
    6,098.64x = 20,155,863.84
  5. Step 5: Solve for x
    x = 20,155,863.84/6,098.64
  6. Step 6: Final answer
    x = 3,304.98

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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.