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Finding the Fourth Proportional to 6,486.39, 9,733.37 and 2,737.94

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Solution

The fourth proportional to 6,486.39, 9,733.37 and 2,737.94 is: 4,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.39 : 9,733.37 = 2,737.94 : x
  2. Step 2: Convert to fraction form
    6,486.39/9,733.37 = 2,737.94/x
  3. Step 3: Cross multiply
    6,486.39x = 9,733.37 × 2,737.94
  4. Step 4: Simplify right side
    6,486.39x = 26,649,320.70
  5. Step 5: Solve for x
    x = 26,649,320.70/6,486.39
  6. Step 6: Final answer
    x = 4,108.50

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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.