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Finding the Fourth Proportional to 6,576.68, 9,864.12 and 2,194.04

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Solution

The fourth proportional to 6,576.68, 9,864.12 and 2,194.04 is: 3,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.68 : 9,864.12 = 2,194.04 : x
  2. Step 2: Convert to fraction form
    6,576.68/9,864.12 = 2,194.04/x
  3. Step 3: Cross multiply
    6,576.68x = 9,864.12 × 2,194.04
  4. Step 4: Simplify right side
    6,576.68x = 21,642,273.84
  5. Step 5: Solve for x
    x = 21,642,273.84/6,576.68
  6. Step 6: Final answer
    x = 3,290.76

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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.