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Finding the Fourth Proportional to 13,211, 18,231.22 and 7,623.08

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Solution

The fourth proportional to 13,211, 18,231.22 and 7,623.08 is: 10,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211 : 18,231.22 = 7,623.08 : x
  2. Step 2: Convert to fraction form
    13,211/18,231.22 = 7,623.08/x
  3. Step 3: Cross multiply
    13,211x = 18,231.22 × 7,623.08
  4. Step 4: Simplify right side
    13,211x = 138,978,048.56
  5. Step 5: Solve for x
    x = 138,978,048.56/13,211
  6. Step 6: Final answer
    x = 10,519.87

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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.