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Finding the Fourth Proportional to 6,832, 10,249.64 and 2,215

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Solution

The fourth proportional to 6,832, 10,249.64 and 2,215 is: 3,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 10,249.64 = 2,215 : x
  2. Step 2: Convert to fraction form
    6,832/10,249.64 = 2,215/x
  3. Step 3: Cross multiply
    6,832x = 10,249.64 × 2,215
  4. Step 4: Simplify right side
    6,832x = 22,702,952.60
  5. Step 5: Solve for x
    x = 22,702,952.60/6,832
  6. Step 6: Final answer
    x = 3,323.03

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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.