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Finding the Fourth Proportional to 6,774.14, 9,348.27 and 3,789.96

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Solution

The fourth proportional to 6,774.14, 9,348.27 and 3,789.96 is: 5,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.14 : 9,348.27 = 3,789.96 : x
  2. Step 2: Convert to fraction form
    6,774.14/9,348.27 = 3,789.96/x
  3. Step 3: Cross multiply
    6,774.14x = 9,348.27 × 3,789.96
  4. Step 4: Simplify right side
    6,774.14x = 35,429,569.37
  5. Step 5: Solve for x
    x = 35,429,569.37/6,774.14
  6. Step 6: Final answer
    x = 5,230.12

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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.