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Finding the Fourth Proportional to 6,167.12, 8,510.84 and 3,514.70

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Solution

The fourth proportional to 6,167.12, 8,510.84 and 3,514.70 is: 4,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.12 : 8,510.84 = 3,514.70 : x
  2. Step 2: Convert to fraction form
    6,167.12/8,510.84 = 3,514.70/x
  3. Step 3: Cross multiply
    6,167.12x = 8,510.84 × 3,514.70
  4. Step 4: Simplify right side
    6,167.12x = 29,912,989.22
  5. Step 5: Solve for x
    x = 29,912,989.22/6,167.12
  6. Step 6: Final answer
    x = 4,850.40

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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.