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Finding the Fourth Proportional to 7,422.84, 11,133 and 2,227.68

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Solution

The fourth proportional to 7,422.84, 11,133 and 2,227.68 is: 3,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.84 : 11,133 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    7,422.84/11,133 = 2,227.68/x
  3. Step 3: Cross multiply
    7,422.84x = 11,133 × 2,227.68
  4. Step 4: Simplify right side
    7,422.84x = 24,800,761.44
  5. Step 5: Solve for x
    x = 24,800,761.44/7,422.84
  6. Step 6: Final answer
    x = 3,341.14

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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.