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Finding the Fourth Proportional to 6,170, 8,514.72 and 3,375.56

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Solution

The fourth proportional to 6,170, 8,514.72 and 3,375.56 is: 4,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 8,514.72 = 3,375.56 : x
  2. Step 2: Convert to fraction form
    6,170/8,514.72 = 3,375.56/x
  3. Step 3: Cross multiply
    6,170x = 8,514.72 × 3,375.56
  4. Step 4: Simplify right side
    6,170x = 28,741,948.24
  5. Step 5: Solve for x
    x = 28,741,948.24/6,170
  6. Step 6: Final answer
    x = 4,658.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.