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Finding the Fourth Proportional to 5,936.50, 8,191.74 and 3,283.84

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Solution

The fourth proportional to 5,936.50, 8,191.74 and 3,283.84 is: 4,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.50 : 8,191.74 = 3,283.84 : x
  2. Step 2: Convert to fraction form
    5,936.50/8,191.74 = 3,283.84/x
  3. Step 3: Cross multiply
    5,936.50x = 8,191.74 × 3,283.84
  4. Step 4: Simplify right side
    5,936.50x = 26,900,363.48
  5. Step 5: Solve for x
    x = 26,900,363.48/5,936.50
  6. Step 6: Final answer
    x = 4,531.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.