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Finding the Fourth Proportional to 4,734.97, 7,096.78 and 3,346.22

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Solution

The fourth proportional to 4,734.97, 7,096.78 and 3,346.22 is: 5,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.97 : 7,096.78 = 3,346.22 : x
  2. Step 2: Convert to fraction form
    4,734.97/7,096.78 = 3,346.22/x
  3. Step 3: Cross multiply
    4,734.97x = 7,096.78 × 3,346.22
  4. Step 4: Simplify right side
    4,734.97x = 23,747,370.44
  5. Step 5: Solve for x
    x = 23,747,370.44/4,734.97
  6. Step 6: Final answer
    x = 5,015.32

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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.