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Finding the Fourth Proportional to 25,524.78, 38,288.25 and 7,994.22

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Solution

The fourth proportional to 25,524.78, 38,288.25 and 7,994.22 is: 11,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.78 : 38,288.25 = 7,994.22 : x
  2. Step 2: Convert to fraction form
    25,524.78/38,288.25 = 7,994.22/x
  3. Step 3: Cross multiply
    25,524.78x = 38,288.25 × 7,994.22
  4. Step 4: Simplify right side
    25,524.78x = 306,084,693.92
  5. Step 5: Solve for x
    x = 306,084,693.92/25,524.78
  6. Step 6: Final answer
    x = 11,991.67

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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.