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Finding the Fourth Proportional to 4,906.51, 7,346.70 and 3,914.69

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Solution

The fourth proportional to 4,906.51, 7,346.70 and 3,914.69 is: 5,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.51 : 7,346.70 = 3,914.69 : x
  2. Step 2: Convert to fraction form
    4,906.51/7,346.70 = 3,914.69/x
  3. Step 3: Cross multiply
    4,906.51x = 7,346.70 × 3,914.69
  4. Step 4: Simplify right side
    4,906.51x = 28,760,016.29
  5. Step 5: Solve for x
    x = 28,760,016.29/4,906.51
  6. Step 6: Final answer
    x = 5,861.61

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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.