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Finding the Fourth Proportional to 9,600, 14,400 and 2,304

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Solution

The fourth proportional to 9,600, 14,400 and 2,304 is: 3,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 14,400 = 2,304 : x
  2. Step 2: Convert to fraction form
    9,600/14,400 = 2,304/x
  3. Step 3: Cross multiply
    9,600x = 14,400 × 2,304
  4. Step 4: Simplify right side
    9,600x = 33,177,600
  5. Step 5: Solve for x
    x = 33,177,600/9,600
  6. Step 6: Final answer
    x = 3,456

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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.