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Finding the Fourth Proportional to 5,693.98, 8,544.81 and 1,996.24

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Solution

The fourth proportional to 5,693.98, 8,544.81 and 1,996.24 is: 2,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.98 : 8,544.81 = 1,996.24 : x
  2. Step 2: Convert to fraction form
    5,693.98/8,544.81 = 1,996.24/x
  3. Step 3: Cross multiply
    5,693.98x = 8,544.81 × 1,996.24
  4. Step 4: Simplify right side
    5,693.98x = 17,057,491.51
  5. Step 5: Solve for x
    x = 17,057,491.51/5,693.98
  6. Step 6: Final answer
    x = 2,995.71

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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.