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Finding the Fourth Proportional to 19,949, 27,529.70 and 10,996.98

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Solution

The fourth proportional to 19,949, 27,529.70 and 10,996.98 is: 15,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949 : 27,529.70 = 10,996.98 : x
  2. Step 2: Convert to fraction form
    19,949/27,529.70 = 10,996.98/x
  3. Step 3: Cross multiply
    19,949x = 27,529.70 × 10,996.98
  4. Step 4: Simplify right side
    19,949x = 302,743,560.31
  5. Step 5: Solve for x
    x = 302,743,560.31/19,949
  6. Step 6: Final answer
    x = 15,175.88

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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.