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Finding the Fourth Proportional to 6,811, 10,216.50 and 2,194

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Solution

The fourth proportional to 6,811, 10,216.50 and 2,194 is: 3,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811 : 10,216.50 = 2,194 : x
  2. Step 2: Convert to fraction form
    6,811/10,216.50 = 2,194/x
  3. Step 3: Cross multiply
    6,811x = 10,216.50 × 2,194
  4. Step 4: Simplify right side
    6,811x = 22,415,001
  5. Step 5: Solve for x
    x = 22,415,001/6,811
  6. Step 6: Final answer
    x = 3,291

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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.