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Finding the Fourth Proportional to 19,695, 27,181.44 and 11,198.41

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Solution

The fourth proportional to 19,695, 27,181.44 and 11,198.41 is: 15,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695 : 27,181.44 = 11,198.41 : x
  2. Step 2: Convert to fraction form
    19,695/27,181.44 = 11,198.41/x
  3. Step 3: Cross multiply
    19,695x = 27,181.44 × 11,198.41
  4. Step 4: Simplify right side
    19,695x = 304,388,909.51
  5. Step 5: Solve for x
    x = 304,388,909.51/19,695
  6. Step 6: Final answer
    x = 15,455.14

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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.