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Finding the Fourth Proportional to 4,906.78, 6,769.74 and 3,016.42

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Solution

The fourth proportional to 4,906.78, 6,769.74 and 3,016.42 is: 4,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.78 : 6,769.74 = 3,016.42 : x
  2. Step 2: Convert to fraction form
    4,906.78/6,769.74 = 3,016.42/x
  3. Step 3: Cross multiply
    4,906.78x = 6,769.74 × 3,016.42
  4. Step 4: Simplify right side
    4,906.78x = 20,420,379.13
  5. Step 5: Solve for x
    x = 20,420,379.13/4,906.78
  6. Step 6: Final answer
    x = 4,161.67

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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.