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Finding the Fourth Proportional to 6,623.76, 9,879.85 and 6,164.49

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Solution

The fourth proportional to 6,623.76, 9,879.85 and 6,164.49 is: 9,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.76 : 9,879.85 = 6,164.49 : x
  2. Step 2: Convert to fraction form
    6,623.76/9,879.85 = 6,164.49/x
  3. Step 3: Cross multiply
    6,623.76x = 9,879.85 × 6,164.49
  4. Step 4: Simplify right side
    6,623.76x = 60,904,236.53
  5. Step 5: Solve for x
    x = 60,904,236.53/6,623.76
  6. Step 6: Final answer
    x = 9,194.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.