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Finding the Fourth Proportional to 6,906.90, 10,361.94 and 1,976.58

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Solution

The fourth proportional to 6,906.90, 10,361.94 and 1,976.58 is: 2,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.90 : 10,361.94 = 1,976.58 : x
  2. Step 2: Convert to fraction form
    6,906.90/10,361.94 = 1,976.58/x
  3. Step 3: Cross multiply
    6,906.90x = 10,361.94 × 1,976.58
  4. Step 4: Simplify right side
    6,906.90x = 20,481,203.37
  5. Step 5: Solve for x
    x = 20,481,203.37/6,906.90
  6. Step 6: Final answer
    x = 2,965.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.