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Finding the Fourth Proportional to 6,531.81, 9,782.52 and 3,234.30

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Solution

The fourth proportional to 6,531.81, 9,782.52 and 3,234.30 is: 4,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.81 : 9,782.52 = 3,234.30 : x
  2. Step 2: Convert to fraction form
    6,531.81/9,782.52 = 3,234.30/x
  3. Step 3: Cross multiply
    6,531.81x = 9,782.52 × 3,234.30
  4. Step 4: Simplify right side
    6,531.81x = 31,639,604.44
  5. Step 5: Solve for x
    x = 31,639,604.44/6,531.81
  6. Step 6: Final answer
    x = 4,843.93

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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.