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Finding the Fourth Proportional to 16,578.81, 24,867.41 and 6,189.75

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Solution

The fourth proportional to 16,578.81, 24,867.41 and 6,189.75 is: 9,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.81 : 24,867.41 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    16,578.81/24,867.41 = 6,189.75/x
  3. Step 3: Cross multiply
    16,578.81x = 24,867.41 × 6,189.75
  4. Step 4: Simplify right side
    16,578.81x = 153,923,020.10
  5. Step 5: Solve for x
    x = 153,923,020.10/16,578.81
  6. Step 6: Final answer
    x = 9,284.32

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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.