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Finding the Fourth Proportional to 11,896.30, 17,834.41 and 7,504.08

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Solution

The fourth proportional to 11,896.30, 17,834.41 and 7,504.08 is: 11,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.30 : 17,834.41 = 7,504.08 : x
  2. Step 2: Convert to fraction form
    11,896.30/17,834.41 = 7,504.08/x
  3. Step 3: Cross multiply
    11,896.30x = 17,834.41 × 7,504.08
  4. Step 4: Simplify right side
    11,896.30x = 133,830,839.39
  5. Step 5: Solve for x
    x = 133,830,839.39/11,896.30
  6. Step 6: Final answer
    x = 11,249.79

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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.