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Finding the Fourth Proportional to 6,608.80, 9,910.06 and 3,836.33

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Solution

The fourth proportional to 6,608.80, 9,910.06 and 3,836.33 is: 5,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.80 : 9,910.06 = 3,836.33 : x
  2. Step 2: Convert to fraction form
    6,608.80/9,910.06 = 3,836.33/x
  3. Step 3: Cross multiply
    6,608.80x = 9,910.06 × 3,836.33
  4. Step 4: Simplify right side
    6,608.80x = 38,018,191.75
  5. Step 5: Solve for x
    x = 38,018,191.75/6,608.80
  6. Step 6: Final answer
    x = 5,752.67

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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.