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Finding the Fourth Proportional to 24,697.78, 37,047.84 and 8,057.78

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Solution

The fourth proportional to 24,697.78, 37,047.84 and 8,057.78 is: 12,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.78 : 37,047.84 = 8,057.78 : x
  2. Step 2: Convert to fraction form
    24,697.78/37,047.84 = 8,057.78/x
  3. Step 3: Cross multiply
    24,697.78x = 37,047.84 × 8,057.78
  4. Step 4: Simplify right side
    24,697.78x = 298,523,344.20
  5. Step 5: Solve for x
    x = 298,523,344.20/24,697.78
  6. Step 6: Final answer
    x = 12,087.05

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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.