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Finding the Fourth Proportional to 7,092.29, 9,786.93 and 4,107.92

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Solution

The fourth proportional to 7,092.29, 9,786.93 and 4,107.92 is: 5,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.29 : 9,786.93 = 4,107.92 : x
  2. Step 2: Convert to fraction form
    7,092.29/9,786.93 = 4,107.92/x
  3. Step 3: Cross multiply
    7,092.29x = 9,786.93 × 4,107.92
  4. Step 4: Simplify right side
    7,092.29x = 40,203,876.55
  5. Step 5: Solve for x
    x = 40,203,876.55/7,092.29
  6. Step 6: Final answer
    x = 5,668.68

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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.