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Finding the Fourth Proportional to 6,149.70, 9,222.39 and 2,864.34

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Solution

The fourth proportional to 6,149.70, 9,222.39 and 2,864.34 is: 4,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.70 : 9,222.39 = 2,864.34 : x
  2. Step 2: Convert to fraction form
    6,149.70/9,222.39 = 2,864.34/x
  3. Step 3: Cross multiply
    6,149.70x = 9,222.39 × 2,864.34
  4. Step 4: Simplify right side
    6,149.70x = 26,416,060.57
  5. Step 5: Solve for x
    x = 26,416,060.57/6,149.70
  6. Step 6: Final answer
    x = 4,295.50

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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.