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Finding the Fourth Proportional to 6,816.50, 10,221.49 and 4,042.51

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Solution

The fourth proportional to 6,816.50, 10,221.49 and 4,042.51 is: 6,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.50 : 10,221.49 = 4,042.51 : x
  2. Step 2: Convert to fraction form
    6,816.50/10,221.49 = 4,042.51/x
  3. Step 3: Cross multiply
    6,816.50x = 10,221.49 × 4,042.51
  4. Step 4: Simplify right side
    6,816.50x = 41,320,455.04
  5. Step 5: Solve for x
    x = 41,320,455.04/6,816.50
  6. Step 6: Final answer
    x = 6,061.82

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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.