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Finding the Fourth Proportional to 6,382.76, 9,578.39 and 3,096.09

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Solution

The fourth proportional to 6,382.76, 9,578.39 and 3,096.09 is: 4,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.76 : 9,578.39 = 3,096.09 : x
  2. Step 2: Convert to fraction form
    6,382.76/9,578.39 = 3,096.09/x
  3. Step 3: Cross multiply
    6,382.76x = 9,578.39 × 3,096.09
  4. Step 4: Simplify right side
    6,382.76x = 29,655,542.01
  5. Step 5: Solve for x
    x = 29,655,542.01/6,382.76
  6. Step 6: Final answer
    x = 4,646.20

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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.