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Finding the Fourth Proportional to 6,514.92, 9,774 and 2,566.44

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Solution

The fourth proportional to 6,514.92, 9,774 and 2,566.44 is: 3,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.92 : 9,774 = 2,566.44 : x
  2. Step 2: Convert to fraction form
    6,514.92/9,774 = 2,566.44/x
  3. Step 3: Cross multiply
    6,514.92x = 9,774 × 2,566.44
  4. Step 4: Simplify right side
    6,514.92x = 25,084,384.56
  5. Step 5: Solve for x
    x = 25,084,384.56/6,514.92
  6. Step 6: Final answer
    x = 3,850.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.