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Finding the Fourth Proportional to 5,198.16, 7,137.14 and 5,062.84

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Solution

The fourth proportional to 5,198.16, 7,137.14 and 5,062.84 is: 6,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.16 : 7,137.14 = 5,062.84 : x
  2. Step 2: Convert to fraction form
    5,198.16/7,137.14 = 5,062.84/x
  3. Step 3: Cross multiply
    5,198.16x = 7,137.14 × 5,062.84
  4. Step 4: Simplify right side
    5,198.16x = 36,134,197.88
  5. Step 5: Solve for x
    x = 36,134,197.88/5,198.16
  6. Step 6: Final answer
    x = 6,951.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.