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Finding the Fourth Proportional to 24,919.26, 37,370.76 and 8,274.78

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Solution

The fourth proportional to 24,919.26, 37,370.76 and 8,274.78 is: 12,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.26 : 37,370.76 = 8,274.78 : x
  2. Step 2: Convert to fraction form
    24,919.26/37,370.76 = 8,274.78/x
  3. Step 3: Cross multiply
    24,919.26x = 37,370.76 × 8,274.78
  4. Step 4: Simplify right side
    24,919.26x = 309,234,817.43
  5. Step 5: Solve for x
    x = 309,234,817.43/24,919.26
  6. Step 6: Final answer
    x = 12,409.47

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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.