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Finding the Fourth Proportional to 13,491.44, 20,238.24 and 5,175.44

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Solution

The fourth proportional to 13,491.44, 20,238.24 and 5,175.44 is: 7,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.44 : 20,238.24 = 5,175.44 : x
  2. Step 2: Convert to fraction form
    13,491.44/20,238.24 = 5,175.44/x
  3. Step 3: Cross multiply
    13,491.44x = 20,238.24 × 5,175.44
  4. Step 4: Simplify right side
    13,491.44x = 104,741,796.83
  5. Step 5: Solve for x
    x = 104,741,796.83/13,491.44
  6. Step 6: Final answer
    x = 7,763.57

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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.