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Finding the Fourth Proportional to 6,230.65, 9,318.42 and 5,542.15

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Solution

The fourth proportional to 6,230.65, 9,318.42 and 5,542.15 is: 8,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.65 : 9,318.42 = 5,542.15 : x
  2. Step 2: Convert to fraction form
    6,230.65/9,318.42 = 5,542.15/x
  3. Step 3: Cross multiply
    6,230.65x = 9,318.42 × 5,542.15
  4. Step 4: Simplify right side
    6,230.65x = 51,644,081.40
  5. Step 5: Solve for x
    x = 51,644,081.40/6,230.65
  6. Step 6: Final answer
    x = 8,288.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.