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Finding the Fourth Proportional to 6,742.98, 9,305.19 and 3,759.03

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Solution

The fourth proportional to 6,742.98, 9,305.19 and 3,759.03 is: 5,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.98 : 9,305.19 = 3,759.03 : x
  2. Step 2: Convert to fraction form
    6,742.98/9,305.19 = 3,759.03/x
  3. Step 3: Cross multiply
    6,742.98x = 9,305.19 × 3,759.03
  4. Step 4: Simplify right side
    6,742.98x = 34,978,488.37
  5. Step 5: Solve for x
    x = 34,978,488.37/6,742.98
  6. Step 6: Final answer
    x = 5,187.39

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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.