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Finding the Fourth Proportional to 6,738.50, 9,299.76 and 3,944

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Solution

The fourth proportional to 6,738.50, 9,299.76 and 3,944 is: 5,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.50 : 9,299.76 = 3,944 : x
  2. Step 2: Convert to fraction form
    6,738.50/9,299.76 = 3,944/x
  3. Step 3: Cross multiply
    6,738.50x = 9,299.76 × 3,944
  4. Step 4: Simplify right side
    6,738.50x = 36,678,253.44
  5. Step 5: Solve for x
    x = 36,678,253.44/6,738.50
  6. Step 6: Final answer
    x = 5,443.09

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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.