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Finding the Fourth Proportional to 6,374.25, 9,560.61 and 1,694.61

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Solution

The fourth proportional to 6,374.25, 9,560.61 and 1,694.61 is: 2,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.25 : 9,560.61 = 1,694.61 : x
  2. Step 2: Convert to fraction form
    6,374.25/9,560.61 = 1,694.61/x
  3. Step 3: Cross multiply
    6,374.25x = 9,560.61 × 1,694.61
  4. Step 4: Simplify right side
    6,374.25x = 16,201,505.31
  5. Step 5: Solve for x
    x = 16,201,505.31/6,374.25
  6. Step 6: Final answer
    x = 2,541.71

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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.