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Finding the Fourth Proportional to 6,112.54, 9,169.47 and 1,951.09

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Solution

The fourth proportional to 6,112.54, 9,169.47 and 1,951.09 is: 2,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.54 : 9,169.47 = 1,951.09 : x
  2. Step 2: Convert to fraction form
    6,112.54/9,169.47 = 1,951.09/x
  3. Step 3: Cross multiply
    6,112.54x = 9,169.47 × 1,951.09
  4. Step 4: Simplify right side
    6,112.54x = 17,890,461.22
  5. Step 5: Solve for x
    x = 17,890,461.22/6,112.54
  6. Step 6: Final answer
    x = 2,926.85

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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.