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Finding the Fourth Proportional to 16,149.25, 24,222.97 and 5,054.64

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Solution

The fourth proportional to 16,149.25, 24,222.97 and 5,054.64 is: 7,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.25 : 24,222.97 = 5,054.64 : x
  2. Step 2: Convert to fraction form
    16,149.25/24,222.97 = 5,054.64/x
  3. Step 3: Cross multiply
    16,149.25x = 24,222.97 × 5,054.64
  4. Step 4: Simplify right side
    16,149.25x = 122,438,393.08
  5. Step 5: Solve for x
    x = 122,438,393.08/16,149.25
  6. Step 6: Final answer
    x = 7,581.68

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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.