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Finding the Fourth Proportional to 6,976.33, 9,629.10 and 3,993.10

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Solution

The fourth proportional to 6,976.33, 9,629.10 and 3,993.10 is: 5,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.33 : 9,629.10 = 3,993.10 : x
  2. Step 2: Convert to fraction form
    6,976.33/9,629.10 = 3,993.10/x
  3. Step 3: Cross multiply
    6,976.33x = 9,629.10 × 3,993.10
  4. Step 4: Simplify right side
    6,976.33x = 38,449,959.21
  5. Step 5: Solve for x
    x = 38,449,959.21/6,976.33
  6. Step 6: Final answer
    x = 5,511.49

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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.