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Finding the Fourth Proportional to 6,982.71, 9,636.13 and 3,998.40

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Solution

The fourth proportional to 6,982.71, 9,636.13 and 3,998.40 is: 5,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.71 : 9,636.13 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    6,982.71/9,636.13 = 3,998.40/x
  3. Step 3: Cross multiply
    6,982.71x = 9,636.13 × 3,998.40
  4. Step 4: Simplify right side
    6,982.71x = 38,529,102.19
  5. Step 5: Solve for x
    x = 38,529,102.19/6,982.71
  6. Step 6: Final answer
    x = 5,517.79

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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.