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Finding the Fourth Proportional to 7,846.75, 11,770.11 and 2,003.36

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Solution

The fourth proportional to 7,846.75, 11,770.11 and 2,003.36 is: 3,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.75 : 11,770.11 = 2,003.36 : x
  2. Step 2: Convert to fraction form
    7,846.75/11,770.11 = 2,003.36/x
  3. Step 3: Cross multiply
    7,846.75x = 11,770.11 × 2,003.36
  4. Step 4: Simplify right side
    7,846.75x = 23,579,767.57
  5. Step 5: Solve for x
    x = 23,579,767.57/7,846.75
  6. Step 6: Final answer
    x = 3,005.04

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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.