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Finding the Fourth Proportional to 16,399.97, 24,578.16 and 6,533.82

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Solution

The fourth proportional to 16,399.97, 24,578.16 and 6,533.82 is: 9,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.97 : 24,578.16 = 6,533.82 : x
  2. Step 2: Convert to fraction form
    16,399.97/24,578.16 = 6,533.82/x
  3. Step 3: Cross multiply
    16,399.97x = 24,578.16 × 6,533.82
  4. Step 4: Simplify right side
    16,399.97x = 160,589,273.37
  5. Step 5: Solve for x
    x = 160,589,273.37/16,399.97
  6. Step 6: Final answer
    x = 9,792.05

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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.