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Finding the Fourth Proportional to 25,219, 37,825.11 and 10,425.88

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Solution

The fourth proportional to 25,219, 37,825.11 and 10,425.88 is: 15,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219 : 37,825.11 = 10,425.88 : x
  2. Step 2: Convert to fraction form
    25,219/37,825.11 = 10,425.88/x
  3. Step 3: Cross multiply
    25,219x = 37,825.11 × 10,425.88
  4. Step 4: Simplify right side
    25,219x = 394,360,057.85
  5. Step 5: Solve for x
    x = 394,360,057.85/25,219
  6. Step 6: Final answer
    x = 15,637.42

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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.