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Finding the Fourth Proportional to 7,846.78, 11,770.50 and 2,003.56

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Solution

The fourth proportional to 7,846.78, 11,770.50 and 2,003.56 is: 3,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.78 : 11,770.50 = 2,003.56 : x
  2. Step 2: Convert to fraction form
    7,846.78/11,770.50 = 2,003.56/x
  3. Step 3: Cross multiply
    7,846.78x = 11,770.50 × 2,003.56
  4. Step 4: Simplify right side
    7,846.78x = 23,582,902.98
  5. Step 5: Solve for x
    x = 23,582,902.98/7,846.78
  6. Step 6: Final answer
    x = 3,005.42

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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.