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Finding the Fourth Proportional to 6,209.98, 9,314.97 and 2,514.80

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Solution

The fourth proportional to 6,209.98, 9,314.97 and 2,514.80 is: 3,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.98 : 9,314.97 = 2,514.80 : x
  2. Step 2: Convert to fraction form
    6,209.98/9,314.97 = 2,514.80/x
  3. Step 3: Cross multiply
    6,209.98x = 9,314.97 × 2,514.80
  4. Step 4: Simplify right side
    6,209.98x = 23,425,312.27
  5. Step 5: Solve for x
    x = 23,425,312.27/6,209.98
  6. Step 6: Final answer
    x = 3,772.20

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1.5x scale

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.