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Finding the Fourth Proportional to 11,304, 15,600 and 6,336

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Solution

The fourth proportional to 11,304, 15,600 and 6,336 is: 8,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304 : 15,600 = 6,336 : x
  2. Step 2: Convert to fraction form
    11,304/15,600 = 6,336/x
  3. Step 3: Cross multiply
    11,304x = 15,600 × 6,336
  4. Step 4: Simplify right side
    11,304x = 98,841,600
  5. Step 5: Solve for x
    x = 98,841,600/11,304
  6. Step 6: Final answer
    x = 8,743.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.