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Finding the Fourth Proportional to 6,796.89, 10,185.84 and 3,503.07

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Solution

The fourth proportional to 6,796.89, 10,185.84 and 3,503.07 is: 5,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.89 : 10,185.84 = 3,503.07 : x
  2. Step 2: Convert to fraction form
    6,796.89/10,185.84 = 3,503.07/x
  3. Step 3: Cross multiply
    6,796.89x = 10,185.84 × 3,503.07
  4. Step 4: Simplify right side
    6,796.89x = 35,681,710.53
  5. Step 5: Solve for x
    x = 35,681,710.53/6,796.89
  6. Step 6: Final answer
    x = 5,249.71

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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.