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Finding the Fourth Proportional to 9,754.14, 14,631.14 and 3,906.56

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Solution

The fourth proportional to 9,754.14, 14,631.14 and 3,906.56 is: 5,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.14 : 14,631.14 = 3,906.56 : x
  2. Step 2: Convert to fraction form
    9,754.14/14,631.14 = 3,906.56/x
  3. Step 3: Cross multiply
    9,754.14x = 14,631.14 × 3,906.56
  4. Step 4: Simplify right side
    9,754.14x = 57,157,426.28
  5. Step 5: Solve for x
    x = 57,157,426.28/9,754.14
  6. Step 6: Final answer
    x = 5,859.81

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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.