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Finding the Fourth Proportional to 6,523.93, 9,786.43 and 1,843.98

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Solution

The fourth proportional to 6,523.93, 9,786.43 and 1,843.98 is: 2,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.93 : 9,786.43 = 1,843.98 : x
  2. Step 2: Convert to fraction form
    6,523.93/9,786.43 = 1,843.98/x
  3. Step 3: Cross multiply
    6,523.93x = 9,786.43 × 1,843.98
  4. Step 4: Simplify right side
    6,523.93x = 18,045,971.97
  5. Step 5: Solve for x
    x = 18,045,971.97/6,523.93
  6. Step 6: Final answer
    x = 2,766.12

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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.