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Finding the Fourth Proportional to 6,151.69, 9,223.62 and 2,865.79

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Solution

The fourth proportional to 6,151.69, 9,223.62 and 2,865.79 is: 4,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.69 : 9,223.62 = 2,865.79 : x
  2. Step 2: Convert to fraction form
    6,151.69/9,223.62 = 2,865.79/x
  3. Step 3: Cross multiply
    6,151.69x = 9,223.62 × 2,865.79
  4. Step 4: Simplify right side
    6,151.69x = 26,432,957.96
  5. Step 5: Solve for x
    x = 26,432,957.96/6,151.69
  6. Step 6: Final answer
    x = 4,296.86

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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.