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Finding the Fourth Proportional to 8,096, 12,144 and 2,624

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Solution

The fourth proportional to 8,096, 12,144 and 2,624 is: 3,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096 : 12,144 = 2,624 : x
  2. Step 2: Convert to fraction form
    8,096/12,144 = 2,624/x
  3. Step 3: Cross multiply
    8,096x = 12,144 × 2,624
  4. Step 4: Simplify right side
    8,096x = 31,865,856
  5. Step 5: Solve for x
    x = 31,865,856/8,096
  6. Step 6: Final answer
    x = 3,936

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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.