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Finding the Fourth Proportional to 6,786.44, 10,179.96 and 1,855.97

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Solution

The fourth proportional to 6,786.44, 10,179.96 and 1,855.97 is: 2,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.44 : 10,179.96 = 1,855.97 : x
  2. Step 2: Convert to fraction form
    6,786.44/10,179.96 = 1,855.97/x
  3. Step 3: Cross multiply
    6,786.44x = 10,179.96 × 1,855.97
  4. Step 4: Simplify right side
    6,786.44x = 18,893,649.46
  5. Step 5: Solve for x
    x = 18,893,649.46/6,786.44
  6. Step 6: Final answer
    x = 2,784.03

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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.