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Finding the Fourth Proportional to 6,394.65, 9,535.49 and 5,617.83

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Solution

The fourth proportional to 6,394.65, 9,535.49 and 5,617.83 is: 8,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.65 : 9,535.49 = 5,617.83 : x
  2. Step 2: Convert to fraction form
    6,394.65/9,535.49 = 5,617.83/x
  3. Step 3: Cross multiply
    6,394.65x = 9,535.49 × 5,617.83
  4. Step 4: Simplify right side
    6,394.65x = 53,568,775.83
  5. Step 5: Solve for x
    x = 53,568,775.83/6,394.65
  6. Step 6: Final answer
    x = 8,377.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.