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Finding the Fourth Proportional to 6,794.88, 10,181.34 and 3,676.34

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Solution

The fourth proportional to 6,794.88, 10,181.34 and 3,676.34 is: 5,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.88 : 10,181.34 = 3,676.34 : x
  2. Step 2: Convert to fraction form
    6,794.88/10,181.34 = 3,676.34/x
  3. Step 3: Cross multiply
    6,794.88x = 10,181.34 × 3,676.34
  4. Step 4: Simplify right side
    6,794.88x = 37,430,067.50
  5. Step 5: Solve for x
    x = 37,430,067.50/6,794.88
  6. Step 6: Final answer
    x = 5,508.57

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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.