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Finding the Fourth Proportional to 4,906.06, 6,768.99 and 4,659.82

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Solution

The fourth proportional to 4,906.06, 6,768.99 and 4,659.82 is: 6,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.06 : 6,768.99 = 4,659.82 : x
  2. Step 2: Convert to fraction form
    4,906.06/6,768.99 = 4,659.82/x
  3. Step 3: Cross multiply
    4,906.06x = 6,768.99 × 4,659.82
  4. Step 4: Simplify right side
    4,906.06x = 31,542,274.98
  5. Step 5: Solve for x
    x = 31,542,274.98/4,906.06
  6. Step 6: Final answer
    x = 6,429.25

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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.