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Finding the Fourth Proportional to 6,993.96, 9,650.88 and 3,849.36

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Solution

The fourth proportional to 6,993.96, 9,650.88 and 3,849.36 is: 5,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.96 : 9,650.88 = 3,849.36 : x
  2. Step 2: Convert to fraction form
    6,993.96/9,650.88 = 3,849.36/x
  3. Step 3: Cross multiply
    6,993.96x = 9,650.88 × 3,849.36
  4. Step 4: Simplify right side
    6,993.96x = 37,149,711.44
  5. Step 5: Solve for x
    x = 37,149,711.44/6,993.96
  6. Step 6: Final answer
    x = 5,311.68

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1.5x scale

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.