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Finding the Fourth Proportional to 11,883, 17,825.46 and 3,675

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Solution

The fourth proportional to 11,883, 17,825.46 and 3,675 is: 5,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883 : 17,825.46 = 3,675 : x
  2. Step 2: Convert to fraction form
    11,883/17,825.46 = 3,675/x
  3. Step 3: Cross multiply
    11,883x = 17,825.46 × 3,675
  4. Step 4: Simplify right side
    11,883x = 65,508,565.50
  5. Step 5: Solve for x
    x = 65,508,565.50/11,883
  6. Step 6: Final answer
    x = 5,512.80

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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.