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Finding the Fourth Proportional to 6,516.57, 9,773.36 and 3,884.82

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Solution

The fourth proportional to 6,516.57, 9,773.36 and 3,884.82 is: 5,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.57 : 9,773.36 = 3,884.82 : x
  2. Step 2: Convert to fraction form
    6,516.57/9,773.36 = 3,884.82/x
  3. Step 3: Cross multiply
    6,516.57x = 9,773.36 × 3,884.82
  4. Step 4: Simplify right side
    6,516.57x = 37,967,734.68
  5. Step 5: Solve for x
    x = 37,967,734.68/6,516.57
  6. Step 6: Final answer
    x = 5,826.34

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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.