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Finding the Fourth Proportional to 11,504.91, 17,229.96 and 7,109.04

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Solution

The fourth proportional to 11,504.91, 17,229.96 and 7,109.04 is: 10,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.91 : 17,229.96 = 7,109.04 : x
  2. Step 2: Convert to fraction form
    11,504.91/17,229.96 = 7,109.04/x
  3. Step 3: Cross multiply
    11,504.91x = 17,229.96 × 7,109.04
  4. Step 4: Simplify right side
    11,504.91x = 122,488,474.84
  5. Step 5: Solve for x
    x = 122,488,474.84/11,504.91
  6. Step 6: Final answer
    x = 10,646.63

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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.