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Finding the Fourth Proportional to 6,672.75, 10,008.89 and 3,164.44

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Solution

The fourth proportional to 6,672.75, 10,008.89 and 3,164.44 is: 4,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.75 : 10,008.89 = 3,164.44 : x
  2. Step 2: Convert to fraction form
    6,672.75/10,008.89 = 3,164.44/x
  3. Step 3: Cross multiply
    6,672.75x = 10,008.89 × 3,164.44
  4. Step 4: Simplify right side
    6,672.75x = 31,672,481.83
  5. Step 5: Solve for x
    x = 31,672,481.83/6,672.75
  6. Step 6: Final answer
    x = 4,746.54

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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.