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Finding the Fourth Proportional to 6,727.62, 10,092.06 and 1,797.55

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Solution

The fourth proportional to 6,727.62, 10,092.06 and 1,797.55 is: 2,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.62 : 10,092.06 = 1,797.55 : x
  2. Step 2: Convert to fraction form
    6,727.62/10,092.06 = 1,797.55/x
  3. Step 3: Cross multiply
    6,727.62x = 10,092.06 × 1,797.55
  4. Step 4: Simplify right side
    6,727.62x = 18,140,982.45
  5. Step 5: Solve for x
    x = 18,140,982.45/6,727.62
  6. Step 6: Final answer
    x = 2,696.50

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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.