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Finding the Fourth Proportional to 4,906.53, 6,772.74 and 3,021.33

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Solution

The fourth proportional to 4,906.53, 6,772.74 and 3,021.33 is: 4,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.53 : 6,772.74 = 3,021.33 : x
  2. Step 2: Convert to fraction form
    4,906.53/6,772.74 = 3,021.33/x
  3. Step 3: Cross multiply
    4,906.53x = 6,772.74 × 3,021.33
  4. Step 4: Simplify right side
    4,906.53x = 20,462,682.54
  5. Step 5: Solve for x
    x = 20,462,682.54/4,906.53
  6. Step 6: Final answer
    x = 4,170.50

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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.