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Finding the Fourth Proportional to 6,796.32, 10,194.48 and 1,866

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Solution

The fourth proportional to 6,796.32, 10,194.48 and 1,866 is: 2,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.32 : 10,194.48 = 1,866 : x
  2. Step 2: Convert to fraction form
    6,796.32/10,194.48 = 1,866/x
  3. Step 3: Cross multiply
    6,796.32x = 10,194.48 × 1,866
  4. Step 4: Simplify right side
    6,796.32x = 19,022,899.68
  5. Step 5: Solve for x
    x = 19,022,899.68/6,796.32
  6. Step 6: Final answer
    x = 2,799

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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.