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Finding the Fourth Proportional to 25,213.80, 37,820.70 and 8,578.20

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Solution

The fourth proportional to 25,213.80, 37,820.70 and 8,578.20 is: 12,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.80 : 37,820.70 = 8,578.20 : x
  2. Step 2: Convert to fraction form
    25,213.80/37,820.70 = 8,578.20/x
  3. Step 3: Cross multiply
    25,213.80x = 37,820.70 × 8,578.20
  4. Step 4: Simplify right side
    25,213.80x = 324,433,528.74
  5. Step 5: Solve for x
    x = 324,433,528.74/25,213.80
  6. Step 6: Final answer
    x = 12,867.30

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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.