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Finding the Fourth Proportional to 6,613.24, 9,919.71 and 1,682.89

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Solution

The fourth proportional to 6,613.24, 9,919.71 and 1,682.89 is: 2,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.24 : 9,919.71 = 1,682.89 : x
  2. Step 2: Convert to fraction form
    6,613.24/9,919.71 = 1,682.89/x
  3. Step 3: Cross multiply
    6,613.24x = 9,919.71 × 1,682.89
  4. Step 4: Simplify right side
    6,613.24x = 16,693,722.75
  5. Step 5: Solve for x
    x = 16,693,722.75/6,613.24
  6. Step 6: Final answer
    x = 2,524.29

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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.