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Finding the Fourth Proportional to 9,262.92, 12,786.92 and 5,910.12

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Solution

The fourth proportional to 9,262.92, 12,786.92 and 5,910.12 is: 8,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.92 : 12,786.92 = 5,910.12 : x
  2. Step 2: Convert to fraction form
    9,262.92/12,786.92 = 5,910.12/x
  3. Step 3: Cross multiply
    9,262.92x = 12,786.92 × 5,910.12
  4. Step 4: Simplify right side
    9,262.92x = 75,572,231.63
  5. Step 5: Solve for x
    x = 75,572,231.63/9,262.92
  6. Step 6: Final answer
    x = 8,158.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.