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Finding the Fourth Proportional to 6,377, 9,560.24 and 2,682.08

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Solution

The fourth proportional to 6,377, 9,560.24 and 2,682.08 is: 4,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377 : 9,560.24 = 2,682.08 : x
  2. Step 2: Convert to fraction form
    6,377/9,560.24 = 2,682.08/x
  3. Step 3: Cross multiply
    6,377x = 9,560.24 × 2,682.08
  4. Step 4: Simplify right side
    6,377x = 25,641,328.50
  5. Step 5: Solve for x
    x = 25,641,328.50/6,377
  6. Step 6: Final answer
    x = 4,020.91

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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.