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Finding the Fourth Proportional to 6,096, 9,144 and 2,448

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Solution

The fourth proportional to 6,096, 9,144 and 2,448 is: 3,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 9,144 = 2,448 : x
  2. Step 2: Convert to fraction form
    6,096/9,144 = 2,448/x
  3. Step 3: Cross multiply
    6,096x = 9,144 × 2,448
  4. Step 4: Simplify right side
    6,096x = 22,384,512
  5. Step 5: Solve for x
    x = 22,384,512/6,096
  6. Step 6: Final answer
    x = 3,672

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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.