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Finding the Fourth Proportional to 6,227.82, 9,334.17 and 2,668.50

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Solution

The fourth proportional to 6,227.82, 9,334.17 and 2,668.50 is: 3,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.82 : 9,334.17 = 2,668.50 : x
  2. Step 2: Convert to fraction form
    6,227.82/9,334.17 = 2,668.50/x
  3. Step 3: Cross multiply
    6,227.82x = 9,334.17 × 2,668.50
  4. Step 4: Simplify right side
    6,227.82x = 24,908,232.65
  5. Step 5: Solve for x
    x = 24,908,232.65/6,227.82
  6. Step 6: Final answer
    x = 3,999.51

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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.