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Finding the Fourth Proportional to 6,167.16, 8,510.31 and 3,514.86

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Solution

The fourth proportional to 6,167.16, 8,510.31 and 3,514.86 is: 4,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.16 : 8,510.31 = 3,514.86 : x
  2. Step 2: Convert to fraction form
    6,167.16/8,510.31 = 3,514.86/x
  3. Step 3: Cross multiply
    6,167.16x = 8,510.31 × 3,514.86
  4. Step 4: Simplify right side
    6,167.16x = 29,912,548.21
  5. Step 5: Solve for x
    x = 29,912,548.21/6,167.16
  6. Step 6: Final answer
    x = 4,850.30

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1.5x scale

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.