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Finding the Fourth Proportional to 6,832.26, 10,250 and 2,215.26

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Solution

The fourth proportional to 6,832.26, 10,250 and 2,215.26 is: 3,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.26 : 10,250 = 2,215.26 : x
  2. Step 2: Convert to fraction form
    6,832.26/10,250 = 2,215.26/x
  3. Step 3: Cross multiply
    6,832.26x = 10,250 × 2,215.26
  4. Step 4: Simplify right side
    6,832.26x = 22,706,415.00
  5. Step 5: Solve for x
    x = 22,706,415.00/6,832.26
  6. Step 6: Final answer
    x = 3,323.41

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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.