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Finding the Fourth Proportional to 24,769.92, 37,162.44 and 7,902.48

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Solution

The fourth proportional to 24,769.92, 37,162.44 and 7,902.48 is: 11,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.92 : 37,162.44 = 7,902.48 : x
  2. Step 2: Convert to fraction form
    24,769.92/37,162.44 = 7,902.48/x
  3. Step 3: Cross multiply
    24,769.92x = 37,162.44 × 7,902.48
  4. Step 4: Simplify right side
    24,769.92x = 293,675,438.85
  5. Step 5: Solve for x
    x = 293,675,438.85/24,769.92
  6. Step 6: Final answer
    x = 11,856.13

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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.