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Finding the Fourth Proportional to 10,832.76, 16,249.14 and 3,811.12

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Solution

The fourth proportional to 10,832.76, 16,249.14 and 3,811.12 is: 5,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.76 : 16,249.14 = 3,811.12 : x
  2. Step 2: Convert to fraction form
    10,832.76/16,249.14 = 3,811.12/x
  3. Step 3: Cross multiply
    10,832.76x = 16,249.14 × 3,811.12
  4. Step 4: Simplify right side
    10,832.76x = 61,927,422.44
  5. Step 5: Solve for x
    x = 61,927,422.44/10,832.76
  6. Step 6: Final answer
    x = 5,716.68

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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.