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Finding the Fourth Proportional to 6,632, 9,150.24 and 3,837.12

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Solution

The fourth proportional to 6,632, 9,150.24 and 3,837.12 is: 5,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632 : 9,150.24 = 3,837.12 : x
  2. Step 2: Convert to fraction form
    6,632/9,150.24 = 3,837.12/x
  3. Step 3: Cross multiply
    6,632x = 9,150.24 × 3,837.12
  4. Step 4: Simplify right side
    6,632x = 35,110,568.91
  5. Step 5: Solve for x
    x = 35,110,568.91/6,632
  6. Step 6: Final answer
    x = 5,294.11

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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.