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Finding the Fourth Proportional to 4,891.11, 7,337.13 and 1,604.22

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Solution

The fourth proportional to 4,891.11, 7,337.13 and 1,604.22 is: 2,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.11 : 7,337.13 = 1,604.22 : x
  2. Step 2: Convert to fraction form
    4,891.11/7,337.13 = 1,604.22/x
  3. Step 3: Cross multiply
    4,891.11x = 7,337.13 × 1,604.22
  4. Step 4: Simplify right side
    4,891.11x = 11,770,370.69
  5. Step 5: Solve for x
    x = 11,770,370.69/4,891.11
  6. Step 6: Final answer
    x = 2,406.48

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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.