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Finding the Fourth Proportional to 6,476.28, 9,722.13 and 6,212.22

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Solution

The fourth proportional to 6,476.28, 9,722.13 and 6,212.22 is: 9,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.28 : 9,722.13 = 6,212.22 : x
  2. Step 2: Convert to fraction form
    6,476.28/9,722.13 = 6,212.22/x
  3. Step 3: Cross multiply
    6,476.28x = 9,722.13 × 6,212.22
  4. Step 4: Simplify right side
    6,476.28x = 60,396,010.43
  5. Step 5: Solve for x
    x = 60,396,010.43/6,476.28
  6. Step 6: Final answer
    x = 9,325.73

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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.