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Finding the Fourth Proportional to 16,408, 24,612 and 4,096

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Solution

The fourth proportional to 16,408, 24,612 and 4,096 is: 6,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408 : 24,612 = 4,096 : x
  2. Step 2: Convert to fraction form
    16,408/24,612 = 4,096/x
  3. Step 3: Cross multiply
    16,408x = 24,612 × 4,096
  4. Step 4: Simplify right side
    16,408x = 100,810,752
  5. Step 5: Solve for x
    x = 100,810,752/16,408
  6. Step 6: Final answer
    x = 6,144

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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.