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Finding the Fourth Proportional to 25,324.34, 37,990.82 and 7,793.78

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Solution

The fourth proportional to 25,324.34, 37,990.82 and 7,793.78 is: 11,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324.34 : 37,990.82 = 7,793.78 : x
  2. Step 2: Convert to fraction form
    25,324.34/37,990.82 = 7,793.78/x
  3. Step 3: Cross multiply
    25,324.34x = 37,990.82 × 7,793.78
  4. Step 4: Simplify right side
    25,324.34x = 296,091,922.63
  5. Step 5: Solve for x
    x = 296,091,922.63/25,324.34
  6. Step 6: Final answer
    x = 11,691.99

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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.