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Finding the Fourth Proportional to 8,204, 12,306.24 and 2,048

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Solution

The fourth proportional to 8,204, 12,306.24 and 2,048 is: 3,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 12,306.24 = 2,048 : x
  2. Step 2: Convert to fraction form
    8,204/12,306.24 = 2,048/x
  3. Step 3: Cross multiply
    8,204x = 12,306.24 × 2,048
  4. Step 4: Simplify right side
    8,204x = 25,203,179.52
  5. Step 5: Solve for x
    x = 25,203,179.52/8,204
  6. Step 6: Final answer
    x = 3,072.06

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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.