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Finding the Fourth Proportional to 14,198, 19,593.24 and 7,910.24

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Solution

The fourth proportional to 14,198, 19,593.24 and 7,910.24 is: 10,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198 : 19,593.24 = 7,910.24 : x
  2. Step 2: Convert to fraction form
    14,198/19,593.24 = 7,910.24/x
  3. Step 3: Cross multiply
    14,198x = 19,593.24 × 7,910.24
  4. Step 4: Simplify right side
    14,198x = 154,987,230.78
  5. Step 5: Solve for x
    x = 154,987,230.78/14,198
  6. Step 6: Final answer
    x = 10,916.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.