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Finding the Fourth Proportional to 6,933.92, 9,568.82 and 3,790.10

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Solution

The fourth proportional to 6,933.92, 9,568.82 and 3,790.10 is: 5,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.92 : 9,568.82 = 3,790.10 : x
  2. Step 2: Convert to fraction form
    6,933.92/9,568.82 = 3,790.10/x
  3. Step 3: Cross multiply
    6,933.92x = 9,568.82 × 3,790.10
  4. Step 4: Simplify right side
    6,933.92x = 36,266,789.65
  5. Step 5: Solve for x
    x = 36,266,789.65/6,933.92
  6. Step 6: Final answer
    x = 5,230.35

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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.