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Finding the Fourth Proportional to 6,142.63, 9,213.95 and 2,244.91

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Solution

The fourth proportional to 6,142.63, 9,213.95 and 2,244.91 is: 3,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.63 : 9,213.95 = 2,244.91 : x
  2. Step 2: Convert to fraction form
    6,142.63/9,213.95 = 2,244.91/x
  3. Step 3: Cross multiply
    6,142.63x = 9,213.95 × 2,244.91
  4. Step 4: Simplify right side
    6,142.63x = 20,684,488.49
  5. Step 5: Solve for x
    x = 20,684,488.49/6,142.63
  6. Step 6: Final answer
    x = 3,367.37

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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.