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Finding the Fourth Proportional to 6,194.61, 9,291.92 and 2,194.97

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Solution

The fourth proportional to 6,194.61, 9,291.92 and 2,194.97 is: 3,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.61 : 9,291.92 = 2,194.97 : x
  2. Step 2: Convert to fraction form
    6,194.61/9,291.92 = 2,194.97/x
  3. Step 3: Cross multiply
    6,194.61x = 9,291.92 × 2,194.97
  4. Step 4: Simplify right side
    6,194.61x = 20,395,428.21
  5. Step 5: Solve for x
    x = 20,395,428.21/6,194.61
  6. Step 6: Final answer
    x = 3,292.45

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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.