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Finding the Fourth Proportional to 6,501.50, 9,727.87 and 3,859.33

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Solution

The fourth proportional to 6,501.50, 9,727.87 and 3,859.33 is: 5,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.50 : 9,727.87 = 3,859.33 : x
  2. Step 2: Convert to fraction form
    6,501.50/9,727.87 = 3,859.33/x
  3. Step 3: Cross multiply
    6,501.50x = 9,727.87 × 3,859.33
  4. Step 4: Simplify right side
    6,501.50x = 37,543,026.56
  5. Step 5: Solve for x
    x = 37,543,026.56/6,501.50
  6. Step 6: Final answer
    x = 5,774.52

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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.