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Finding the Fourth Proportional to 25,227.26, 37,840.90 and 10,419.90

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Solution

The fourth proportional to 25,227.26, 37,840.90 and 10,419.90 is: 15,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.26 : 37,840.90 = 10,419.90 : x
  2. Step 2: Convert to fraction form
    25,227.26/37,840.90 = 10,419.90/x
  3. Step 3: Cross multiply
    25,227.26x = 37,840.90 × 10,419.90
  4. Step 4: Simplify right side
    25,227.26x = 394,298,341.81
  5. Step 5: Solve for x
    x = 394,298,341.81/25,227.26
  6. Step 6: Final answer
    x = 15,629.85

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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.