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Finding the Fourth Proportional to 6,901.44, 9,523.84 and 3,757.60

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Solution

The fourth proportional to 6,901.44, 9,523.84 and 3,757.60 is: 5,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.44 : 9,523.84 = 3,757.60 : x
  2. Step 2: Convert to fraction form
    6,901.44/9,523.84 = 3,757.60/x
  3. Step 3: Cross multiply
    6,901.44x = 9,523.84 × 3,757.60
  4. Step 4: Simplify right side
    6,901.44x = 35,786,781.18
  5. Step 5: Solve for x
    x = 35,786,781.18/6,901.44
  6. Step 6: Final answer
    x = 5,185.41

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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.