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Finding the Fourth Proportional to 19,589, 29,383.50 and 5,738.12

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Solution

The fourth proportional to 19,589, 29,383.50 and 5,738.12 is: 8,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589 : 29,383.50 = 5,738.12 : x
  2. Step 2: Convert to fraction form
    19,589/29,383.50 = 5,738.12/x
  3. Step 3: Cross multiply
    19,589x = 29,383.50 × 5,738.12
  4. Step 4: Simplify right side
    19,589x = 168,606,049.02
  5. Step 5: Solve for x
    x = 168,606,049.02/19,589
  6. Step 6: Final answer
    x = 8,607.18

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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.