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Finding the Fourth Proportional to 8,224, 11,344.68 and 5,867.44

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Solution

The fourth proportional to 8,224, 11,344.68 and 5,867.44 is: 8,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 11,344.68 = 5,867.44 : x
  2. Step 2: Convert to fraction form
    8,224/11,344.68 = 5,867.44/x
  3. Step 3: Cross multiply
    8,224x = 11,344.68 × 5,867.44
  4. Step 4: Simplify right side
    8,224x = 66,564,229.22
  5. Step 5: Solve for x
    x = 66,564,229.22/8,224
  6. Step 6: Final answer
    x = 8,093.90

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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.