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Finding the Fourth Proportional to 4,064, 6,096 and 1,632

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Solution

The fourth proportional to 4,064, 6,096 and 1,632 is: 2,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064 : 6,096 = 1,632 : x
  2. Step 2: Convert to fraction form
    4,064/6,096 = 1,632/x
  3. Step 3: Cross multiply
    4,064x = 6,096 × 1,632
  4. Step 4: Simplify right side
    4,064x = 9,948,672
  5. Step 5: Solve for x
    x = 9,948,672/4,064
  6. Step 6: Final answer
    x = 2,448

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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.