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Finding the Fourth Proportional to 6,580.64, 9,864.31 and 2,834.86

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Solution

The fourth proportional to 6,580.64, 9,864.31 and 2,834.86 is: 4,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.64 : 9,864.31 = 2,834.86 : x
  2. Step 2: Convert to fraction form
    6,580.64/9,864.31 = 2,834.86/x
  3. Step 3: Cross multiply
    6,580.64x = 9,864.31 × 2,834.86
  4. Step 4: Simplify right side
    6,580.64x = 27,963,943.09
  5. Step 5: Solve for x
    x = 27,963,943.09/6,580.64
  6. Step 6: Final answer
    x = 4,249.43

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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.