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Finding the Fourth Proportional to 16,057.72, 24,079.02 and 6,201.64

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Solution

The fourth proportional to 16,057.72, 24,079.02 and 6,201.64 is: 9,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.72 : 24,079.02 = 6,201.64 : x
  2. Step 2: Convert to fraction form
    16,057.72/24,079.02 = 6,201.64/x
  3. Step 3: Cross multiply
    16,057.72x = 24,079.02 × 6,201.64
  4. Step 4: Simplify right side
    16,057.72x = 149,329,413.59
  5. Step 5: Solve for x
    x = 149,329,413.59/16,057.72
  6. Step 6: Final answer
    x = 9,299.54

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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.