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Finding the Fourth Proportional to 3,663.51, 5,496.12 and 1,198.32

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Solution

The fourth proportional to 3,663.51, 5,496.12 and 1,198.32 is: 1,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.51 : 5,496.12 = 1,198.32 : x
  2. Step 2: Convert to fraction form
    3,663.51/5,496.12 = 1,198.32/x
  3. Step 3: Cross multiply
    3,663.51x = 5,496.12 × 1,198.32
  4. Step 4: Simplify right side
    3,663.51x = 6,586,083.04
  5. Step 5: Solve for x
    x = 6,586,083.04/3,663.51
  6. Step 6: Final answer
    x = 1,797.75

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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.