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Finding the Fourth Proportional to 6,550.34, 9,039.89 and 3,718.18

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Solution

The fourth proportional to 6,550.34, 9,039.89 and 3,718.18 is: 5,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.34 : 9,039.89 = 3,718.18 : x
  2. Step 2: Convert to fraction form
    6,550.34/9,039.89 = 3,718.18/x
  3. Step 3: Cross multiply
    6,550.34x = 9,039.89 × 3,718.18
  4. Step 4: Simplify right side
    6,550.34x = 33,611,874.41
  5. Step 5: Solve for x
    x = 33,611,874.41/6,550.34
  6. Step 6: Final answer
    x = 5,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.