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Finding the Fourth Proportional to 7,846.92, 11,770.65 and 2,003.58

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Solution

The fourth proportional to 7,846.92, 11,770.65 and 2,003.58 is: 3,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.92 : 11,770.65 = 2,003.58 : x
  2. Step 2: Convert to fraction form
    7,846.92/11,770.65 = 2,003.58/x
  3. Step 3: Cross multiply
    7,846.92x = 11,770.65 × 2,003.58
  4. Step 4: Simplify right side
    7,846.92x = 23,583,438.93
  5. Step 5: Solve for x
    x = 23,583,438.93/7,846.92
  6. Step 6: Final answer
    x = 3,005.44

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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.