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Finding the Fourth Proportional to 4,906.84, 6,773.95 and 3,785.26

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Solution

The fourth proportional to 4,906.84, 6,773.95 and 3,785.26 is: 5,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.84 : 6,773.95 = 3,785.26 : x
  2. Step 2: Convert to fraction form
    4,906.84/6,773.95 = 3,785.26/x
  3. Step 3: Cross multiply
    4,906.84x = 6,773.95 × 3,785.26
  4. Step 4: Simplify right side
    4,906.84x = 25,641,161.98
  5. Step 5: Solve for x
    x = 25,641,161.98/4,906.84
  6. Step 6: Final answer
    x = 5,225.60

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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.