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Finding the Fourth Proportional to 13,691.91, 18,896.79 and 7,724.14

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Solution

The fourth proportional to 13,691.91, 18,896.79 and 7,724.14 is: 10,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.91 : 18,896.79 = 7,724.14 : x
  2. Step 2: Convert to fraction form
    13,691.91/18,896.79 = 7,724.14/x
  3. Step 3: Cross multiply
    13,691.91x = 18,896.79 × 7,724.14
  4. Step 4: Simplify right side
    13,691.91x = 145,961,451.51
  5. Step 5: Solve for x
    x = 145,961,451.51/13,691.91
  6. Step 6: Final answer
    x = 10,660.42

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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.