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Finding the Fourth Proportional to 6,566.74, 9,843.82 and 2,181.12

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Solution

The fourth proportional to 6,566.74, 9,843.82 and 2,181.12 is: 3,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.74 : 9,843.82 = 2,181.12 : x
  2. Step 2: Convert to fraction form
    6,566.74/9,843.82 = 2,181.12/x
  3. Step 3: Cross multiply
    6,566.74x = 9,843.82 × 2,181.12
  4. Step 4: Simplify right side
    6,566.74x = 21,470,552.68
  5. Step 5: Solve for x
    x = 21,470,552.68/6,566.74
  6. Step 6: Final answer
    x = 3,269.59

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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.