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Finding the Fourth Proportional to 6,586.65, 9,879.98 and 2,204.42

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Solution

The fourth proportional to 6,586.65, 9,879.98 and 2,204.42 is: 3,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.65 : 9,879.98 = 2,204.42 : x
  2. Step 2: Convert to fraction form
    6,586.65/9,879.98 = 2,204.42/x
  3. Step 3: Cross multiply
    6,586.65x = 9,879.98 × 2,204.42
  4. Step 4: Simplify right side
    6,586.65x = 21,779,625.51
  5. Step 5: Solve for x
    x = 21,779,625.51/6,586.65
  6. Step 6: Final answer
    x = 3,306.63

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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.