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Finding the Fourth Proportional to 27,577.50, 41,366.28 and 6,801

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Solution

The fourth proportional to 27,577.50, 41,366.28 and 6,801 is: 10,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.50 : 41,366.28 = 6,801 : x
  2. Step 2: Convert to fraction form
    27,577.50/41,366.28 = 6,801/x
  3. Step 3: Cross multiply
    27,577.50x = 41,366.28 × 6,801
  4. Step 4: Simplify right side
    27,577.50x = 281,332,070.28
  5. Step 5: Solve for x
    x = 281,332,070.28/27,577.50
  6. Step 6: Final answer
    x = 10,201.51

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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.