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Finding the Fourth Proportional to 4,942.48, 6,805.08 and 4,194.88

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Solution

The fourth proportional to 4,942.48, 6,805.08 and 4,194.88 is: 5,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.48 : 6,805.08 = 4,194.88 : x
  2. Step 2: Convert to fraction form
    4,942.48/6,805.08 = 4,194.88/x
  3. Step 3: Cross multiply
    4,942.48x = 6,805.08 × 4,194.88
  4. Step 4: Simplify right side
    4,942.48x = 28,546,493.99
  5. Step 5: Solve for x
    x = 28,546,493.99/4,942.48
  6. Step 6: Final answer
    x = 5,775.74

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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.