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Finding the Fourth Proportional to 6,982.87, 9,636.55 and 3,796.38

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Solution

The fourth proportional to 6,982.87, 9,636.55 and 3,796.38 is: 5,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.87 : 9,636.55 = 3,796.38 : x
  2. Step 2: Convert to fraction form
    6,982.87/9,636.55 = 3,796.38/x
  3. Step 3: Cross multiply
    6,982.87x = 9,636.55 × 3,796.38
  4. Step 4: Simplify right side
    6,982.87x = 36,584,005.69
  5. Step 5: Solve for x
    x = 36,584,005.69/6,982.87
  6. Step 6: Final answer
    x = 5,239.11

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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.