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Finding the Fourth Proportional to 6,981.21, 9,633.90 and 3,794.42

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Solution

The fourth proportional to 6,981.21, 9,633.90 and 3,794.42 is: 5,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.21 : 9,633.90 = 3,794.42 : x
  2. Step 2: Convert to fraction form
    6,981.21/9,633.90 = 3,794.42/x
  3. Step 3: Cross multiply
    6,981.21x = 9,633.90 × 3,794.42
  4. Step 4: Simplify right side
    6,981.21x = 36,555,101.15
  5. Step 5: Solve for x
    x = 36,555,101.15/6,981.21
  6. Step 6: Final answer
    x = 5,236.21

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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.