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Finding the Fourth Proportional to 11,344, 15,654.72 and 6,632.24

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Solution

The fourth proportional to 11,344, 15,654.72 and 6,632.24 is: 9,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344 : 15,654.72 = 6,632.24 : x
  2. Step 2: Convert to fraction form
    11,344/15,654.72 = 6,632.24/x
  3. Step 3: Cross multiply
    11,344x = 15,654.72 × 6,632.24
  4. Step 4: Simplify right side
    11,344x = 103,825,860.17
  5. Step 5: Solve for x
    x = 103,825,860.17/11,344
  6. Step 6: Final answer
    x = 9,152.49

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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.