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Finding the Fourth Proportional to 6,940.52, 9,577.90 and 3,796.68

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Solution

The fourth proportional to 6,940.52, 9,577.90 and 3,796.68 is: 5,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.52 : 9,577.90 = 3,796.68 : x
  2. Step 2: Convert to fraction form
    6,940.52/9,577.90 = 3,796.68/x
  3. Step 3: Cross multiply
    6,940.52x = 9,577.90 × 3,796.68
  4. Step 4: Simplify right side
    6,940.52x = 36,364,221.37
  5. Step 5: Solve for x
    x = 36,364,221.37/6,940.52
  6. Step 6: Final answer
    x = 5,239.41

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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.