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Finding the Fourth Proportional to 6,092.70, 9,120.49 and 3,902.95

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Solution

The fourth proportional to 6,092.70, 9,120.49 and 3,902.95 is: 5,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.70 : 9,120.49 = 3,902.95 : x
  2. Step 2: Convert to fraction form
    6,092.70/9,120.49 = 3,902.95/x
  3. Step 3: Cross multiply
    6,092.70x = 9,120.49 × 3,902.95
  4. Step 4: Simplify right side
    6,092.70x = 35,596,816.45
  5. Step 5: Solve for x
    x = 35,596,816.45/6,092.70
  6. Step 6: Final answer
    x = 5,842.54

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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.