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Finding the Fourth Proportional to 25.82, 38.74 and 9.78

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Solution

The fourth proportional to 25.82, 38.74 and 9.78 is: 14.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.82 : 38.74 = 9.78 : x
  2. Step 2: Convert to fraction form
    25.82/38.74 = 9.78/x
  3. Step 3: Cross multiply
    25.82x = 38.74 × 9.78
  4. Step 4: Simplify right side
    25.82x = 378.83
  5. Step 5: Solve for x
    x = 378.83/25.82
  6. Step 6: Final answer
    x = 14.67

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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.