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Finding the Fourth Proportional to 6,761.94, 10,140.47 and 2,599.82

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Solution

The fourth proportional to 6,761.94, 10,140.47 and 2,599.82 is: 3,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.94 : 10,140.47 = 2,599.82 : x
  2. Step 2: Convert to fraction form
    6,761.94/10,140.47 = 2,599.82/x
  3. Step 3: Cross multiply
    6,761.94x = 10,140.47 × 2,599.82
  4. Step 4: Simplify right side
    6,761.94x = 26,363,396.72
  5. Step 5: Solve for x
    x = 26,363,396.72/6,761.94
  6. Step 6: Final answer
    x = 3,898.79

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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.