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Finding the Fourth Proportional to 4,906.78, 6,774.13 and 3,230.99

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Solution

The fourth proportional to 4,906.78, 6,774.13 and 3,230.99 is: 4,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.78 : 6,774.13 = 3,230.99 : x
  2. Step 2: Convert to fraction form
    4,906.78/6,774.13 = 3,230.99/x
  3. Step 3: Cross multiply
    4,906.78x = 6,774.13 × 3,230.99
  4. Step 4: Simplify right side
    4,906.78x = 21,887,141.86
  5. Step 5: Solve for x
    x = 21,887,141.86/4,906.78
  6. Step 6: Final answer
    x = 4,460.59

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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.