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Finding the Fourth Proportional to 10,922.54, 15,073.07 and 5,954.54

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Solution

The fourth proportional to 10,922.54, 15,073.07 and 5,954.54 is: 8,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.54 : 15,073.07 = 5,954.54 : x
  2. Step 2: Convert to fraction form
    10,922.54/15,073.07 = 5,954.54/x
  3. Step 3: Cross multiply
    10,922.54x = 15,073.07 × 5,954.54
  4. Step 4: Simplify right side
    10,922.54x = 89,753,198.24
  5. Step 5: Solve for x
    x = 89,753,198.24/10,922.54
  6. Step 6: Final answer
    x = 8,217.25

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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.