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Finding the Fourth Proportional to 4,906.85, 6,769.80 and 2,782.16

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Solution

The fourth proportional to 4,906.85, 6,769.80 and 2,782.16 is: 3,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.85 : 6,769.80 = 2,782.16 : x
  2. Step 2: Convert to fraction form
    4,906.85/6,769.80 = 2,782.16/x
  3. Step 3: Cross multiply
    4,906.85x = 6,769.80 × 2,782.16
  4. Step 4: Simplify right side
    4,906.85x = 18,834,632.92
  5. Step 5: Solve for x
    x = 18,834,632.92/4,906.85
  6. Step 6: Final answer
    x = 3,838.43

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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.