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Finding the Fourth Proportional to 6,991.32, 9,648.06 and 3,847.56

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Solution

The fourth proportional to 6,991.32, 9,648.06 and 3,847.56 is: 5,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.32 : 9,648.06 = 3,847.56 : x
  2. Step 2: Convert to fraction form
    6,991.32/9,648.06 = 3,847.56/x
  3. Step 3: Cross multiply
    6,991.32x = 9,648.06 × 3,847.56
  4. Step 4: Simplify right side
    6,991.32x = 37,121,489.73
  5. Step 5: Solve for x
    x = 37,121,489.73/6,991.32
  6. Step 6: Final answer
    x = 5,309.65

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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.