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Finding the Fourth Proportional to 7,847.02, 11,770.94 and 2,003.68

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Solution

The fourth proportional to 7,847.02, 11,770.94 and 2,003.68 is: 3,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.02 : 11,770.94 = 2,003.68 : x
  2. Step 2: Convert to fraction form
    7,847.02/11,770.94 = 2,003.68/x
  3. Step 3: Cross multiply
    7,847.02x = 11,770.94 × 2,003.68
  4. Step 4: Simplify right side
    7,847.02x = 23,585,197.06
  5. Step 5: Solve for x
    x = 23,585,197.06/7,847.02
  6. Step 6: Final answer
    x = 3,005.62

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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.