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Finding the Fourth Proportional to 6,443.16, 9,655.02 and 4,791.96

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Solution

The fourth proportional to 6,443.16, 9,655.02 and 4,791.96 is: 7,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.16 : 9,655.02 = 4,791.96 : x
  2. Step 2: Convert to fraction form
    6,443.16/9,655.02 = 4,791.96/x
  3. Step 3: Cross multiply
    6,443.16x = 9,655.02 × 4,791.96
  4. Step 4: Simplify right side
    6,443.16x = 46,266,469.64
  5. Step 5: Solve for x
    x = 46,266,469.64/6,443.16
  6. Step 6: Final answer
    x = 7,180.71

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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.