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Finding the Fourth Proportional to 8,442, 12,663 and 2,286

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Solution

The fourth proportional to 8,442, 12,663 and 2,286 is: 3,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442 : 12,663 = 2,286 : x
  2. Step 2: Convert to fraction form
    8,442/12,663 = 2,286/x
  3. Step 3: Cross multiply
    8,442x = 12,663 × 2,286
  4. Step 4: Simplify right side
    8,442x = 28,947,618
  5. Step 5: Solve for x
    x = 28,947,618/8,442
  6. Step 6: Final answer
    x = 3,429

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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.