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Finding the Fourth Proportional to 6,660.38, 9,190.78 and 3,675.80

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Solution

The fourth proportional to 6,660.38, 9,190.78 and 3,675.80 is: 5,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.38 : 9,190.78 = 3,675.80 : x
  2. Step 2: Convert to fraction form
    6,660.38/9,190.78 = 3,675.80/x
  3. Step 3: Cross multiply
    6,660.38x = 9,190.78 × 3,675.80
  4. Step 4: Simplify right side
    6,660.38x = 33,783,482.91
  5. Step 5: Solve for x
    x = 33,783,482.91/6,660.38
  6. Step 6: Final answer
    x = 5,072.30

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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.