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Finding the Fourth Proportional to 13,401.66, 18,496.42 and 8,097.24

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Solution

The fourth proportional to 13,401.66, 18,496.42 and 8,097.24 is: 11,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.66 : 18,496.42 = 8,097.24 : x
  2. Step 2: Convert to fraction form
    13,401.66/18,496.42 = 8,097.24/x
  3. Step 3: Cross multiply
    13,401.66x = 18,496.42 × 8,097.24
  4. Step 4: Simplify right side
    13,401.66x = 149,769,951.88
  5. Step 5: Solve for x
    x = 149,769,951.88/13,401.66
  6. Step 6: Final answer
    x = 11,175.48

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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.