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Finding the Fourth Proportional to 6,702.96, 9,251.19 and 3,719.75

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Solution

The fourth proportional to 6,702.96, 9,251.19 and 3,719.75 is: 5,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.96 : 9,251.19 = 3,719.75 : x
  2. Step 2: Convert to fraction form
    6,702.96/9,251.19 = 3,719.75/x
  3. Step 3: Cross multiply
    6,702.96x = 9,251.19 × 3,719.75
  4. Step 4: Simplify right side
    6,702.96x = 34,412,067.75
  5. Step 5: Solve for x
    x = 34,412,067.75/6,702.96
  6. Step 6: Final answer
    x = 5,133.86

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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.