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Finding the Fourth Proportional to 6,183.69, 9,284.79 and 5,353.32

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Solution

The fourth proportional to 6,183.69, 9,284.79 and 5,353.32 is: 8,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.69 : 9,284.79 = 5,353.32 : x
  2. Step 2: Convert to fraction form
    6,183.69/9,284.79 = 5,353.32/x
  3. Step 3: Cross multiply
    6,183.69x = 9,284.79 × 5,353.32
  4. Step 4: Simplify right side
    6,183.69x = 49,704,452.00
  5. Step 5: Solve for x
    x = 49,704,452.00/6,183.69
  6. Step 6: Final answer
    x = 8,037.99

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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.