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Finding the Fourth Proportional to 6,951.92, 10,425.30 and 2,270.84

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Solution

The fourth proportional to 6,951.92, 10,425.30 and 2,270.84 is: 3,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.92 : 10,425.30 = 2,270.84 : x
  2. Step 2: Convert to fraction form
    6,951.92/10,425.30 = 2,270.84/x
  3. Step 3: Cross multiply
    6,951.92x = 10,425.30 × 2,270.84
  4. Step 4: Simplify right side
    6,951.92x = 23,674,188.25
  5. Step 5: Solve for x
    x = 23,674,188.25/6,951.92
  6. Step 6: Final answer
    x = 3,405.42

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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.