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Finding the Fourth Proportional to 6,201.68, 9,302.52 and 2,738.24

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Solution

The fourth proportional to 6,201.68, 9,302.52 and 2,738.24 is: 4,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.68 : 9,302.52 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    6,201.68/9,302.52 = 2,738.24/x
  3. Step 3: Cross multiply
    6,201.68x = 9,302.52 × 2,738.24
  4. Step 4: Simplify right side
    6,201.68x = 25,472,532.36
  5. Step 5: Solve for x
    x = 25,472,532.36/6,201.68
  6. Step 6: Final answer
    x = 4,107.36

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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.