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Finding the Fourth Proportional to 4,906.42, 6,758.78 and 4,656.33

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Solution

The fourth proportional to 4,906.42, 6,758.78 and 4,656.33 is: 6,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.42 : 6,758.78 = 4,656.33 : x
  2. Step 2: Convert to fraction form
    4,906.42/6,758.78 = 4,656.33/x
  3. Step 3: Cross multiply
    4,906.42x = 6,758.78 × 4,656.33
  4. Step 4: Simplify right side
    4,906.42x = 31,471,086.80
  5. Step 5: Solve for x
    x = 31,471,086.80/4,906.42
  6. Step 6: Final answer
    x = 6,414.27

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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.