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Finding the Fourth Proportional to 8,670.75, 13,006.49 and 2,514.75

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Solution

The fourth proportional to 8,670.75, 13,006.49 and 2,514.75 is: 3,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.75 : 13,006.49 = 2,514.75 : x
  2. Step 2: Convert to fraction form
    8,670.75/13,006.49 = 2,514.75/x
  3. Step 3: Cross multiply
    8,670.75x = 13,006.49 × 2,514.75
  4. Step 4: Simplify right side
    8,670.75x = 32,708,058.15
  5. Step 5: Solve for x
    x = 32,708,058.15/8,670.75
  6. Step 6: Final answer
    x = 3,772.23

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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.