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Finding the Fourth Proportional to 6,400, 9,600 and 1,536

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Solution

The fourth proportional to 6,400, 9,600 and 1,536 is: 2,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 9,600 = 1,536 : x
  2. Step 2: Convert to fraction form
    6,400/9,600 = 1,536/x
  3. Step 3: Cross multiply
    6,400x = 9,600 × 1,536
  4. Step 4: Simplify right side
    6,400x = 14,745,600
  5. Step 5: Solve for x
    x = 14,745,600/6,400
  6. Step 6: Final answer
    x = 2,304

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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.