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Finding the Fourth Proportional to 4,974.96, 7,465.18 and 2,202.92

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Solution

The fourth proportional to 4,974.96, 7,465.18 and 2,202.92 is: 3,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.96 : 7,465.18 = 2,202.92 : x
  2. Step 2: Convert to fraction form
    4,974.96/7,465.18 = 2,202.92/x
  3. Step 3: Cross multiply
    4,974.96x = 7,465.18 × 2,202.92
  4. Step 4: Simplify right side
    4,974.96x = 16,445,194.33
  5. Step 5: Solve for x
    x = 16,445,194.33/4,974.96
  6. Step 6: Final answer
    x = 3,305.59

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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.