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Finding the Fourth Proportional to 6,194.54, 9,287.53 and 3,274.90

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Solution

The fourth proportional to 6,194.54, 9,287.53 and 3,274.90 is: 4,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.54 : 9,287.53 = 3,274.90 : x
  2. Step 2: Convert to fraction form
    6,194.54/9,287.53 = 3,274.90/x
  3. Step 3: Cross multiply
    6,194.54x = 9,287.53 × 3,274.90
  4. Step 4: Simplify right side
    6,194.54x = 30,415,700.59
  5. Step 5: Solve for x
    x = 30,415,700.59/6,194.54
  6. Step 6: Final answer
    x = 4,910.08

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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.