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Finding the Fourth Proportional to 27,343.50, 41,015.28 and 6,567

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Solution

The fourth proportional to 27,343.50, 41,015.28 and 6,567 is: 9,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.50 : 41,015.28 = 6,567 : x
  2. Step 2: Convert to fraction form
    27,343.50/41,015.28 = 6,567/x
  3. Step 3: Cross multiply
    27,343.50x = 41,015.28 × 6,567
  4. Step 4: Simplify right side
    27,343.50x = 269,347,343.76
  5. Step 5: Solve for x
    x = 269,347,343.76/27,343.50
  6. Step 6: Final answer
    x = 9,850.51

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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.