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Finding the Fourth Proportional to 6,165.02, 8,507.83 and 3,512.38

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Solution

The fourth proportional to 6,165.02, 8,507.83 and 3,512.38 is: 4,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.02 : 8,507.83 = 3,512.38 : x
  2. Step 2: Convert to fraction form
    6,165.02/8,507.83 = 3,512.38/x
  3. Step 3: Cross multiply
    6,165.02x = 8,507.83 × 3,512.38
  4. Step 4: Simplify right side
    6,165.02x = 29,882,701.88
  5. Step 5: Solve for x
    x = 29,882,701.88/6,165.02
  6. Step 6: Final answer
    x = 4,847.14

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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.