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Finding the Fourth Proportional to 6,162.84, 9,244.44 and 2,002.80

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Solution

The fourth proportional to 6,162.84, 9,244.44 and 2,002.80 is: 3,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.84 : 9,244.44 = 2,002.80 : x
  2. Step 2: Convert to fraction form
    6,162.84/9,244.44 = 2,002.80/x
  3. Step 3: Cross multiply
    6,162.84x = 9,244.44 × 2,002.80
  4. Step 4: Simplify right side
    6,162.84x = 18,514,764.43
  5. Step 5: Solve for x
    x = 18,514,764.43/6,162.84
  6. Step 6: Final answer
    x = 3,004.26

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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.