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Finding the Fourth Proportional to 11,694.53, 17,548.92 and 6,151.84

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Solution

The fourth proportional to 11,694.53, 17,548.92 and 6,151.84 is: 9,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.53 : 17,548.92 = 6,151.84 : x
  2. Step 2: Convert to fraction form
    11,694.53/17,548.92 = 6,151.84/x
  3. Step 3: Cross multiply
    11,694.53x = 17,548.92 × 6,151.84
  4. Step 4: Simplify right side
    11,694.53x = 107,958,104.14
  5. Step 5: Solve for x
    x = 107,958,104.14/11,694.53
  6. Step 6: Final answer
    x = 9,231.50

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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.