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Finding the Fourth Proportional to 25,635.57, 38,458.22 and 8,107.98

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Solution

The fourth proportional to 25,635.57, 38,458.22 and 8,107.98 is: 12,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,635.57 : 38,458.22 = 8,107.98 : x
  2. Step 2: Convert to fraction form
    25,635.57/38,458.22 = 8,107.98/x
  3. Step 3: Cross multiply
    25,635.57x = 38,458.22 × 8,107.98
  4. Step 4: Simplify right side
    25,635.57x = 311,818,438.06
  5. Step 5: Solve for x
    x = 311,818,438.06/25,635.57
  6. Step 6: Final answer
    x = 12,163.51

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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.