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Finding the Fourth Proportional to 5,194.60, 7,791.90 and 4,927.30

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Solution

The fourth proportional to 5,194.60, 7,791.90 and 4,927.30 is: 7,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.60 : 7,791.90 = 4,927.30 : x
  2. Step 2: Convert to fraction form
    5,194.60/7,791.90 = 4,927.30/x
  3. Step 3: Cross multiply
    5,194.60x = 7,791.90 × 4,927.30
  4. Step 4: Simplify right side
    5,194.60x = 38,393,028.87
  5. Step 5: Solve for x
    x = 38,393,028.87/5,194.60
  6. Step 6: Final answer
    x = 7,390.95

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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.