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Finding the Fourth Proportional to 6,581.07, 9,864.32 and 2,834.82

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Solution

The fourth proportional to 6,581.07, 9,864.32 and 2,834.82 is: 4,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.07 : 9,864.32 = 2,834.82 : x
  2. Step 2: Convert to fraction form
    6,581.07/9,864.32 = 2,834.82/x
  3. Step 3: Cross multiply
    6,581.07x = 9,864.32 × 2,834.82
  4. Step 4: Simplify right side
    6,581.07x = 27,963,557.45
  5. Step 5: Solve for x
    x = 27,963,557.45/6,581.07
  6. Step 6: Final answer
    x = 4,249.09

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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.