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Finding the Fourth Proportional to 6,383.64, 9,576.90 and 3,916.92

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Solution

The fourth proportional to 6,383.64, 9,576.90 and 3,916.92 is: 5,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.64 : 9,576.90 = 3,916.92 : x
  2. Step 2: Convert to fraction form
    6,383.64/9,576.90 = 3,916.92/x
  3. Step 3: Cross multiply
    6,383.64x = 9,576.90 × 3,916.92
  4. Step 4: Simplify right side
    6,383.64x = 37,511,951.15
  5. Step 5: Solve for x
    x = 37,511,951.15/6,383.64
  6. Step 6: Final answer
    x = 5,876.26

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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.