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Finding the Fourth Proportional to 6,832.76, 10,182.00 and 6,609.80

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Solution

The fourth proportional to 6,832.76, 10,182.00 and 6,609.80 is: 9,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.76 : 10,182.00 = 6,609.80 : x
  2. Step 2: Convert to fraction form
    6,832.76/10,182.00 = 6,609.80/x
  3. Step 3: Cross multiply
    6,832.76x = 10,182.00 × 6,609.80
  4. Step 4: Simplify right side
    6,832.76x = 67,301,033.84
  5. Step 5: Solve for x
    x = 67,301,033.84/6,832.76
  6. Step 6: Final answer
    x = 9,849.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.