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Finding the Fourth Proportional to 6,613.23, 9,919.75 and 1,682.85

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Solution

The fourth proportional to 6,613.23, 9,919.75 and 1,682.85 is: 2,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.23 : 9,919.75 = 1,682.85 : x
  2. Step 2: Convert to fraction form
    6,613.23/9,919.75 = 1,682.85/x
  3. Step 3: Cross multiply
    6,613.23x = 9,919.75 × 1,682.85
  4. Step 4: Simplify right side
    6,613.23x = 16,693,466.64
  5. Step 5: Solve for x
    x = 16,693,466.64/6,613.23
  6. Step 6: Final answer
    x = 2,524.25

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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.