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Finding the Fourth Proportional to 10,883.76, 16,324.12 and 3,093.20

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Solution

The fourth proportional to 10,883.76, 16,324.12 and 3,093.20 is: 4,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.76 : 16,324.12 = 3,093.20 : x
  2. Step 2: Convert to fraction form
    10,883.76/16,324.12 = 3,093.20/x
  3. Step 3: Cross multiply
    10,883.76x = 16,324.12 × 3,093.20
  4. Step 4: Simplify right side
    10,883.76x = 50,493,767.98
  5. Step 5: Solve for x
    x = 50,493,767.98/10,883.76
  6. Step 6: Final answer
    x = 4,639.37

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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.