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Finding the Fourth Proportional to 5,194.35, 7,198.29 and 5,095.89

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Solution

The fourth proportional to 5,194.35, 7,198.29 and 5,095.89 is: 7,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.35 : 7,198.29 = 5,095.89 : x
  2. Step 2: Convert to fraction form
    5,194.35/7,198.29 = 5,095.89/x
  3. Step 3: Cross multiply
    5,194.35x = 7,198.29 × 5,095.89
  4. Step 4: Simplify right side
    5,194.35x = 36,681,694.03
  5. Step 5: Solve for x
    x = 36,681,694.03/5,194.35
  6. Step 6: Final answer
    x = 7,061.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.