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Finding the Fourth Proportional to 6,167.14, 8,509.93 and 4,911.37

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Solution

The fourth proportional to 6,167.14, 8,509.93 and 4,911.37 is: 6,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.14 : 8,509.93 = 4,911.37 : x
  2. Step 2: Convert to fraction form
    6,167.14/8,509.93 = 4,911.37/x
  3. Step 3: Cross multiply
    6,167.14x = 8,509.93 × 4,911.37
  4. Step 4: Simplify right side
    6,167.14x = 41,795,414.90
  5. Step 5: Solve for x
    x = 41,795,414.90/6,167.14
  6. Step 6: Final answer
    x = 6,777.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.