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Finding the Fourth Proportional to 27,759.50, 41,639.28 and 6,983

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Solution

The fourth proportional to 27,759.50, 41,639.28 and 6,983 is: 10,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.50 : 41,639.28 = 6,983 : x
  2. Step 2: Convert to fraction form
    27,759.50/41,639.28 = 6,983/x
  3. Step 3: Cross multiply
    27,759.50x = 41,639.28 × 6,983
  4. Step 4: Simplify right side
    27,759.50x = 290,767,092.24
  5. Step 5: Solve for x
    x = 290,767,092.24/27,759.50
  6. Step 6: Final answer
    x = 10,474.51

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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.