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Finding the Fourth Proportional to 10,092.92, 13,924.36 and 7,446.64

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Solution

The fourth proportional to 10,092.92, 13,924.36 and 7,446.64 is: 10,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.92 : 13,924.36 = 7,446.64 : x
  2. Step 2: Convert to fraction form
    10,092.92/13,924.36 = 7,446.64/x
  3. Step 3: Cross multiply
    10,092.92x = 13,924.36 × 7,446.64
  4. Step 4: Simplify right side
    10,092.92x = 103,689,696.15
  5. Step 5: Solve for x
    x = 103,689,696.15/10,092.92
  6. Step 6: Final answer
    x = 10,273.51

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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.