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Finding the Fourth Proportional to 6,800.49, 10,191.24 and 3,673.76

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Solution

The fourth proportional to 6,800.49, 10,191.24 and 3,673.76 is: 5,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.49 : 10,191.24 = 3,673.76 : x
  2. Step 2: Convert to fraction form
    6,800.49/10,191.24 = 3,673.76/x
  3. Step 3: Cross multiply
    6,800.49x = 10,191.24 × 3,673.76
  4. Step 4: Simplify right side
    6,800.49x = 37,440,118.91
  5. Step 5: Solve for x
    x = 37,440,118.91/6,800.49
  6. Step 6: Final answer
    x = 5,505.50

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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.