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Finding the Fourth Proportional to 11,523.88, 17,268.13 and 6,834.66

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Solution

The fourth proportional to 11,523.88, 17,268.13 and 6,834.66 is: 10,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.88 : 17,268.13 = 6,834.66 : x
  2. Step 2: Convert to fraction form
    11,523.88/17,268.13 = 6,834.66/x
  3. Step 3: Cross multiply
    11,523.88x = 17,268.13 × 6,834.66
  4. Step 4: Simplify right side
    11,523.88x = 118,021,797.39
  5. Step 5: Solve for x
    x = 118,021,797.39/11,523.88
  6. Step 6: Final answer
    x = 10,241.50

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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.