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Finding the Fourth Proportional to 6,523.89, 9,786.19 and 1,844.27

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Solution

The fourth proportional to 6,523.89, 9,786.19 and 1,844.27 is: 2,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.89 : 9,786.19 = 1,844.27 : x
  2. Step 2: Convert to fraction form
    6,523.89/9,786.19 = 1,844.27/x
  3. Step 3: Cross multiply
    6,523.89x = 9,786.19 × 1,844.27
  4. Step 4: Simplify right side
    6,523.89x = 18,048,376.28
  5. Step 5: Solve for x
    x = 18,048,376.28/6,523.89
  6. Step 6: Final answer
    x = 2,766.50

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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.