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Finding the Fourth Proportional to 13,980.39, 20,974.22 and 5,215.38

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Solution

The fourth proportional to 13,980.39, 20,974.22 and 5,215.38 is: 7,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.39 : 20,974.22 = 5,215.38 : x
  2. Step 2: Convert to fraction form
    13,980.39/20,974.22 = 5,215.38/x
  3. Step 3: Cross multiply
    13,980.39x = 20,974.22 × 5,215.38
  4. Step 4: Simplify right side
    13,980.39x = 109,388,527.50
  5. Step 5: Solve for x
    x = 109,388,527.50/13,980.39
  6. Step 6: Final answer
    x = 7,824.43

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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.