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Finding the Fourth Proportional to 6,782.02, 9,358.12 and 3,797.98

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Solution

The fourth proportional to 6,782.02, 9,358.12 and 3,797.98 is: 5,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.02 : 9,358.12 = 3,797.98 : x
  2. Step 2: Convert to fraction form
    6,782.02/9,358.12 = 3,797.98/x
  3. Step 3: Cross multiply
    6,782.02x = 9,358.12 × 3,797.98
  4. Step 4: Simplify right side
    6,782.02x = 35,541,952.60
  5. Step 5: Solve for x
    x = 35,541,952.60/6,782.02
  6. Step 6: Final answer
    x = 5,240.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.