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Finding the Fourth Proportional to 24,697.86, 37,049.22 and 8,057.22

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Solution

The fourth proportional to 24,697.86, 37,049.22 and 8,057.22 is: 12,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.86 : 37,049.22 = 8,057.22 : x
  2. Step 2: Convert to fraction form
    24,697.86/37,049.22 = 8,057.22/x
  3. Step 3: Cross multiply
    24,697.86x = 37,049.22 × 8,057.22
  4. Step 4: Simplify right side
    24,697.86x = 298,513,716.37
  5. Step 5: Solve for x
    x = 298,513,716.37/24,697.86
  6. Step 6: Final answer
    x = 12,086.62

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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.