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Finding the Fourth Proportional to 8,297.28, 11,450.22 and 4,571.28

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Solution

The fourth proportional to 8,297.28, 11,450.22 and 4,571.28 is: 6,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.28 : 11,450.22 = 4,571.28 : x
  2. Step 2: Convert to fraction form
    8,297.28/11,450.22 = 4,571.28/x
  3. Step 3: Cross multiply
    8,297.28x = 11,450.22 × 4,571.28
  4. Step 4: Simplify right side
    8,297.28x = 52,342,161.68
  5. Step 5: Solve for x
    x = 52,342,161.68/8,297.28
  6. Step 6: Final answer
    x = 6,308.35

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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.