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Finding the Fourth Proportional to 6,624.47, 9,930.22 and 3,164.15

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Solution

The fourth proportional to 6,624.47, 9,930.22 and 3,164.15 is: 4,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.47 : 9,930.22 = 3,164.15 : x
  2. Step 2: Convert to fraction form
    6,624.47/9,930.22 = 3,164.15/x
  3. Step 3: Cross multiply
    6,624.47x = 9,930.22 × 3,164.15
  4. Step 4: Simplify right side
    6,624.47x = 31,420,648.05
  5. Step 5: Solve for x
    x = 31,420,648.05/6,624.47
  6. Step 6: Final answer
    x = 4,743.12

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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.