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Finding the Fourth Proportional to 9,496.44, 14,257.22 and 5,338.71

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Solution

The fourth proportional to 9,496.44, 14,257.22 and 5,338.71 is: 8,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.44 : 14,257.22 = 5,338.71 : x
  2. Step 2: Convert to fraction form
    9,496.44/14,257.22 = 5,338.71/x
  3. Step 3: Cross multiply
    9,496.44x = 14,257.22 × 5,338.71
  4. Step 4: Simplify right side
    9,496.44x = 76,115,136.29
  5. Step 5: Solve for x
    x = 76,115,136.29/9,496.44
  6. Step 6: Final answer
    x = 8,015.12

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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.