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Finding the Fourth Proportional to 6,474, 9,711.09 and 1,857

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Solution

The fourth proportional to 6,474, 9,711.09 and 1,857 is: 2,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 9,711.09 = 1,857 : x
  2. Step 2: Convert to fraction form
    6,474/9,711.09 = 1,857/x
  3. Step 3: Cross multiply
    6,474x = 9,711.09 × 1,857
  4. Step 4: Simplify right side
    6,474x = 18,033,494.13
  5. Step 5: Solve for x
    x = 18,033,494.13/6,474
  6. Step 6: Final answer
    x = 2,785.53

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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.