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Finding the Fourth Proportional to 16,431.75, 24,647.63 and 4,119.75

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Solution

The fourth proportional to 16,431.75, 24,647.63 and 4,119.75 is: 6,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.75 : 24,647.63 = 4,119.75 : x
  2. Step 2: Convert to fraction form
    16,431.75/24,647.63 = 4,119.75/x
  3. Step 3: Cross multiply
    16,431.75x = 24,647.63 × 4,119.75
  4. Step 4: Simplify right side
    16,431.75x = 101,542,053.09
  5. Step 5: Solve for x
    x = 101,542,053.09/16,431.75
  6. Step 6: Final answer
    x = 6,179.63

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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.