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Finding the Fourth Proportional to 6,758.56, 9,326.82 and 3,774.50

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Solution

The fourth proportional to 6,758.56, 9,326.82 and 3,774.50 is: 5,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.56 : 9,326.82 = 3,774.50 : x
  2. Step 2: Convert to fraction form
    6,758.56/9,326.82 = 3,774.50/x
  3. Step 3: Cross multiply
    6,758.56x = 9,326.82 × 3,774.50
  4. Step 4: Simplify right side
    6,758.56x = 35,204,073.97
  5. Step 5: Solve for x
    x = 35,204,073.97/6,758.56
  6. Step 6: Final answer
    x = 5,208.81

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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.