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Finding the Fourth Proportional to 6,950.34, 10,422.14 and 3,254.31

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Solution

The fourth proportional to 6,950.34, 10,422.14 and 3,254.31 is: 4,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.34 : 10,422.14 = 3,254.31 : x
  2. Step 2: Convert to fraction form
    6,950.34/10,422.14 = 3,254.31/x
  3. Step 3: Cross multiply
    6,950.34x = 10,422.14 × 3,254.31
  4. Step 4: Simplify right side
    6,950.34x = 33,916,858.15
  5. Step 5: Solve for x
    x = 33,916,858.15/6,950.34
  6. Step 6: Final answer
    x = 4,879.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.