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Finding the Fourth Proportional to 6,881.91, 9,496.20 and 3,857.22

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Solution

The fourth proportional to 6,881.91, 9,496.20 and 3,857.22 is: 5,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.91 : 9,496.20 = 3,857.22 : x
  2. Step 2: Convert to fraction form
    6,881.91/9,496.20 = 3,857.22/x
  3. Step 3: Cross multiply
    6,881.91x = 9,496.20 × 3,857.22
  4. Step 4: Simplify right side
    6,881.91x = 36,628,932.56
  5. Step 5: Solve for x
    x = 36,628,932.56/6,881.91
  6. Step 6: Final answer
    x = 5,322.50

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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.