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Finding the Fourth Proportional to 6,112.26, 9,163.08 and 2,214

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Solution

The fourth proportional to 6,112.26, 9,163.08 and 2,214 is: 3,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.26 : 9,163.08 = 2,214 : x
  2. Step 2: Convert to fraction form
    6,112.26/9,163.08 = 2,214/x
  3. Step 3: Cross multiply
    6,112.26x = 9,163.08 × 2,214
  4. Step 4: Simplify right side
    6,112.26x = 20,287,059.12
  5. Step 5: Solve for x
    x = 20,287,059.12/6,112.26
  6. Step 6: Final answer
    x = 3,319.08

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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.