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Finding the Fourth Proportional to 5,194.60, 7,793.08 and 1,907.69

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Solution

The fourth proportional to 5,194.60, 7,793.08 and 1,907.69 is: 2,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.60 : 7,793.08 = 1,907.69 : x
  2. Step 2: Convert to fraction form
    5,194.60/7,793.08 = 1,907.69/x
  3. Step 3: Cross multiply
    5,194.60x = 7,793.08 × 1,907.69
  4. Step 4: Simplify right side
    5,194.60x = 14,866,737.05
  5. Step 5: Solve for x
    x = 14,866,737.05/5,194.60
  6. Step 6: Final answer
    x = 2,861.96

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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.