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Finding the Fourth Proportional to 6,552, 9,824.66 and 2,167.88

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Solution

The fourth proportional to 6,552, 9,824.66 and 2,167.88 is: 3,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552 : 9,824.66 = 2,167.88 : x
  2. Step 2: Convert to fraction form
    6,552/9,824.66 = 2,167.88/x
  3. Step 3: Cross multiply
    6,552x = 9,824.66 × 2,167.88
  4. Step 4: Simplify right side
    6,552x = 21,298,632.09
  5. Step 5: Solve for x
    x = 21,298,632.09/6,552
  6. Step 6: Final answer
    x = 3,250.71

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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.