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Finding the Fourth Proportional to 5,198.51, 7,174.37 and 2,961.09

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Solution

The fourth proportional to 5,198.51, 7,174.37 and 2,961.09 is: 4,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.51 : 7,174.37 = 2,961.09 : x
  2. Step 2: Convert to fraction form
    5,198.51/7,174.37 = 2,961.09/x
  3. Step 3: Cross multiply
    5,198.51x = 7,174.37 × 2,961.09
  4. Step 4: Simplify right side
    5,198.51x = 21,243,962.67
  5. Step 5: Solve for x
    x = 21,243,962.67/5,198.51
  6. Step 6: Final answer
    x = 4,086.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.