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Finding the Fourth Proportional to 6,659.58, 9,190.77 and 3,675.69

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Solution

The fourth proportional to 6,659.58, 9,190.77 and 3,675.69 is: 5,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.58 : 9,190.77 = 3,675.69 : x
  2. Step 2: Convert to fraction form
    6,659.58/9,190.77 = 3,675.69/x
  3. Step 3: Cross multiply
    6,659.58x = 9,190.77 × 3,675.69
  4. Step 4: Simplify right side
    6,659.58x = 33,782,421.38
  5. Step 5: Solve for x
    x = 33,782,421.38/6,659.58
  6. Step 6: Final answer
    x = 5,072.76

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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.