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Finding the Fourth Proportional to 6,901.70, 9,524.43 and 3,757.88

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Solution

The fourth proportional to 6,901.70, 9,524.43 and 3,757.88 is: 5,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.70 : 9,524.43 = 3,757.88 : x
  2. Step 2: Convert to fraction form
    6,901.70/9,524.43 = 3,757.88/x
  3. Step 3: Cross multiply
    6,901.70x = 9,524.43 × 3,757.88
  4. Step 4: Simplify right side
    6,901.70x = 35,791,617.39
  5. Step 5: Solve for x
    x = 35,791,617.39/6,901.70
  6. Step 6: Final answer
    x = 5,185.92

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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.