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Finding the Fourth Proportional to 3,463.69, 5,195.49 and 998.43

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Solution

The fourth proportional to 3,463.69, 5,195.49 and 998.43 is: 1,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.69 : 5,195.49 = 998.43 : x
  2. Step 2: Convert to fraction form
    3,463.69/5,195.49 = 998.43/x
  3. Step 3: Cross multiply
    3,463.69x = 5,195.49 × 998.43
  4. Step 4: Simplify right side
    3,463.69x = 5,187,315.47
  5. Step 5: Solve for x
    x = 5,187,315.47/3,463.69
  6. Step 6: Final answer
    x = 1,497.63

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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.