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Finding the Fourth Proportional to 8,128, 12,192 and 2,656

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Solution

The fourth proportional to 8,128, 12,192 and 2,656 is: 3,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 12,192 = 2,656 : x
  2. Step 2: Convert to fraction form
    8,128/12,192 = 2,656/x
  3. Step 3: Cross multiply
    8,128x = 12,192 × 2,656
  4. Step 4: Simplify right side
    8,128x = 32,381,952
  5. Step 5: Solve for x
    x = 32,381,952/8,128
  6. Step 6: Final answer
    x = 3,984

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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.