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Finding the Fourth Proportional to 8,244, 12,366 and 2,772

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Solution

The fourth proportional to 8,244, 12,366 and 2,772 is: 4,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 12,366 = 2,772 : x
  2. Step 2: Convert to fraction form
    8,244/12,366 = 2,772/x
  3. Step 3: Cross multiply
    8,244x = 12,366 × 2,772
  4. Step 4: Simplify right side
    8,244x = 34,278,552
  5. Step 5: Solve for x
    x = 34,278,552/8,244
  6. Step 6: Final answer
    x = 4,158

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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.