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Finding the Fourth Proportional to 6,071.92, 9,107.79 and 1,967.92

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Solution

The fourth proportional to 6,071.92, 9,107.79 and 1,967.92 is: 2,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.92 : 9,107.79 = 1,967.92 : x
  2. Step 2: Convert to fraction form
    6,071.92/9,107.79 = 1,967.92/x
  3. Step 3: Cross multiply
    6,071.92x = 9,107.79 × 1,967.92
  4. Step 4: Simplify right side
    6,071.92x = 17,923,402.10
  5. Step 5: Solve for x
    x = 17,923,402.10/6,071.92
  6. Step 6: Final answer
    x = 2,951.85

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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.