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Finding the Fourth Proportional to 7,846.94, 11,770.20 and 3,685.94

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Solution

The fourth proportional to 7,846.94, 11,770.20 and 3,685.94 is: 5,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.94 : 11,770.20 = 3,685.94 : x
  2. Step 2: Convert to fraction form
    7,846.94/11,770.20 = 3,685.94/x
  3. Step 3: Cross multiply
    7,846.94x = 11,770.20 × 3,685.94
  4. Step 4: Simplify right side
    7,846.94x = 43,384,250.99
  5. Step 5: Solve for x
    x = 43,384,250.99/7,846.94
  6. Step 6: Final answer
    x = 5,528.81

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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.