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Finding the Fourth Proportional to 6,581.79, 9,876.33 and 3,297.65

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Solution

The fourth proportional to 6,581.79, 9,876.33 and 3,297.65 is: 4,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.79 : 9,876.33 = 3,297.65 : x
  2. Step 2: Convert to fraction form
    6,581.79/9,876.33 = 3,297.65/x
  3. Step 3: Cross multiply
    6,581.79x = 9,876.33 × 3,297.65
  4. Step 4: Simplify right side
    6,581.79x = 32,568,630.24
  5. Step 5: Solve for x
    x = 32,568,630.24/6,581.79
  6. Step 6: Final answer
    x = 4,948.29

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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.