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Finding the Fourth Proportional to 6,564.26, 9,839.30 and 3,234.82

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Solution

The fourth proportional to 6,564.26, 9,839.30 and 3,234.82 is: 4,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.26 : 9,839.30 = 3,234.82 : x
  2. Step 2: Convert to fraction form
    6,564.26/9,839.30 = 3,234.82/x
  3. Step 3: Cross multiply
    6,564.26x = 9,839.30 × 3,234.82
  4. Step 4: Simplify right side
    6,564.26x = 31,828,323.65
  5. Step 5: Solve for x
    x = 31,828,323.65/6,564.26
  6. Step 6: Final answer
    x = 4,848.73

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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.