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Finding the Fourth Proportional to 6,581.66, 9,863.57 and 3,297.11

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Solution

The fourth proportional to 6,581.66, 9,863.57 and 3,297.11 is: 4,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.66 : 9,863.57 = 3,297.11 : x
  2. Step 2: Convert to fraction form
    6,581.66/9,863.57 = 3,297.11/x
  3. Step 3: Cross multiply
    6,581.66x = 9,863.57 × 3,297.11
  4. Step 4: Simplify right side
    6,581.66x = 32,521,234.21
  5. Step 5: Solve for x
    x = 32,521,234.21/6,581.66
  6. Step 6: Final answer
    x = 4,941.19

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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.