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Finding the Fourth Proportional to 6,586.44, 9,879.48 and 2,689.92

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Solution

The fourth proportional to 6,586.44, 9,879.48 and 2,689.92 is: 4,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.44 : 9,879.48 = 2,689.92 : x
  2. Step 2: Convert to fraction form
    6,586.44/9,879.48 = 2,689.92/x
  3. Step 3: Cross multiply
    6,586.44x = 9,879.48 × 2,689.92
  4. Step 4: Simplify right side
    6,586.44x = 26,575,010.84
  5. Step 5: Solve for x
    x = 26,575,010.84/6,586.44
  6. Step 6: Final answer
    x = 4,034.81

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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.