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Finding the Fourth Proportional to 6,502.39, 9,752.97 and 1,822.83

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Solution

The fourth proportional to 6,502.39, 9,752.97 and 1,822.83 is: 2,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.39 : 9,752.97 = 1,822.83 : x
  2. Step 2: Convert to fraction form
    6,502.39/9,752.97 = 1,822.83/x
  3. Step 3: Cross multiply
    6,502.39x = 9,752.97 × 1,822.83
  4. Step 4: Simplify right side
    6,502.39x = 17,778,006.31
  5. Step 5: Solve for x
    x = 17,778,006.31/6,502.39
  6. Step 6: Final answer
    x = 2,734.07

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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.