Home / 6,198-9,298.35-2,735.25

Finding the Fourth Proportional to 6,198, 9,298.35 and 2,735.25

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Solution

The fourth proportional to 6,198, 9,298.35 and 2,735.25 is: 4,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 9,298.35 = 2,735.25 : x
  2. Step 2: Convert to fraction form
    6,198/9,298.35 = 2,735.25/x
  3. Step 3: Cross multiply
    6,198x = 9,298.35 × 2,735.25
  4. Step 4: Simplify right side
    6,198x = 25,433,311.84
  5. Step 5: Solve for x
    x = 25,433,311.84/6,198
  6. Step 6: Final answer
    x = 4,103.47

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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.