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Finding the Fourth Proportional to 6,382.57, 9,564.10 and 2,682.78

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Solution

The fourth proportional to 6,382.57, 9,564.10 and 2,682.78 is: 4,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.57 : 9,564.10 = 2,682.78 : x
  2. Step 2: Convert to fraction form
    6,382.57/9,564.10 = 2,682.78/x
  3. Step 3: Cross multiply
    6,382.57x = 9,564.10 × 2,682.78
  4. Step 4: Simplify right side
    6,382.57x = 25,658,376.20
  5. Step 5: Solve for x
    x = 25,658,376.20/6,382.57
  6. Step 6: Final answer
    x = 4,020.07

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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.