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Finding the Fourth Proportional to 6,163.54, 9,238.69 and 2,211

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Solution

The fourth proportional to 6,163.54, 9,238.69 and 2,211 is: 3,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.54 : 9,238.69 = 2,211 : x
  2. Step 2: Convert to fraction form
    6,163.54/9,238.69 = 2,211/x
  3. Step 3: Cross multiply
    6,163.54x = 9,238.69 × 2,211
  4. Step 4: Simplify right side
    6,163.54x = 20,426,743.59
  5. Step 5: Solve for x
    x = 20,426,743.59/6,163.54
  6. Step 6: Final answer
    x = 3,314.13

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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.