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Finding the Fourth Proportional to 4,906.90, 7,365.82 and 4,684.56

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Solution

The fourth proportional to 4,906.90, 7,365.82 and 4,684.56 is: 7,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.90 : 7,365.82 = 4,684.56 : x
  2. Step 2: Convert to fraction form
    4,906.90/7,365.82 = 4,684.56/x
  3. Step 3: Cross multiply
    4,906.90x = 7,365.82 × 4,684.56
  4. Step 4: Simplify right side
    4,906.90x = 34,505,625.74
  5. Step 5: Solve for x
    x = 34,505,625.74/4,906.90
  6. Step 6: Final answer
    x = 7,032.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.