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Finding the Fourth Proportional to 16,578.30, 24,867.81 and 4,266.30

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Solution

The fourth proportional to 16,578.30, 24,867.81 and 4,266.30 is: 6,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.30 : 24,867.81 = 4,266.30 : x
  2. Step 2: Convert to fraction form
    16,578.30/24,867.81 = 4,266.30/x
  3. Step 3: Cross multiply
    16,578.30x = 24,867.81 × 4,266.30
  4. Step 4: Simplify right side
    16,578.30x = 106,093,537.80
  5. Step 5: Solve for x
    x = 106,093,537.80/16,578.30
  6. Step 6: Final answer
    x = 6,399.54

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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.