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Finding the Fourth Proportional to 6,145.70, 9,212.25 and 2,442.92

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Solution

The fourth proportional to 6,145.70, 9,212.25 and 2,442.92 is: 3,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.70 : 9,212.25 = 2,442.92 : x
  2. Step 2: Convert to fraction form
    6,145.70/9,212.25 = 2,442.92/x
  3. Step 3: Cross multiply
    6,145.70x = 9,212.25 × 2,442.92
  4. Step 4: Simplify right side
    6,145.70x = 22,504,789.77
  5. Step 5: Solve for x
    x = 22,504,789.77/6,145.70
  6. Step 6: Final answer
    x = 3,661.88

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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.