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Finding the Fourth Proportional to 6,796.86, 9,379.80 and 3,813

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Solution

The fourth proportional to 6,796.86, 9,379.80 and 3,813 is: 5,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.86 : 9,379.80 = 3,813 : x
  2. Step 2: Convert to fraction form
    6,796.86/9,379.80 = 3,813/x
  3. Step 3: Cross multiply
    6,796.86x = 9,379.80 × 3,813
  4. Step 4: Simplify right side
    6,796.86x = 35,765,177.40
  5. Step 5: Solve for x
    x = 35,765,177.40/6,796.86
  6. Step 6: Final answer
    x = 5,262.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.