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Finding the Fourth Proportional to 4,612.43, 6,914.40 and 1,838.44

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Solution

The fourth proportional to 4,612.43, 6,914.40 and 1,838.44 is: 2,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.43 : 6,914.40 = 1,838.44 : x
  2. Step 2: Convert to fraction form
    4,612.43/6,914.40 = 1,838.44/x
  3. Step 3: Cross multiply
    4,612.43x = 6,914.40 × 1,838.44
  4. Step 4: Simplify right side
    4,612.43x = 12,711,692.25
  5. Step 5: Solve for x
    x = 12,711,692.25/4,612.43
  6. Step 6: Final answer
    x = 2,755.96

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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.