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Finding the Fourth Proportional to 6,630.51, 9,942.93 and 2,469.81

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Solution

The fourth proportional to 6,630.51, 9,942.93 and 2,469.81 is: 3,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.51 : 9,942.93 = 2,469.81 : x
  2. Step 2: Convert to fraction form
    6,630.51/9,942.93 = 2,469.81/x
  3. Step 3: Cross multiply
    6,630.51x = 9,942.93 × 2,469.81
  4. Step 4: Simplify right side
    6,630.51x = 24,557,147.94
  5. Step 5: Solve for x
    x = 24,557,147.94/6,630.51
  6. Step 6: Final answer
    x = 3,703.66

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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.