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Finding the Fourth Proportional to 6,664.80, 9,194.61 and 4,676.65

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Solution

The fourth proportional to 6,664.80, 9,194.61 and 4,676.65 is: 6,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.80 : 9,194.61 = 4,676.65 : x
  2. Step 2: Convert to fraction form
    6,664.80/9,194.61 = 4,676.65/x
  3. Step 3: Cross multiply
    6,664.80x = 9,194.61 × 4,676.65
  4. Step 4: Simplify right side
    6,664.80x = 43,000,019.13
  5. Step 5: Solve for x
    x = 43,000,019.13/6,664.80
  6. Step 6: Final answer
    x = 6,451.81

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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.