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Finding the Fourth Proportional to 9,192.92, 13,769.93 and 7,629.21

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Solution

The fourth proportional to 9,192.92, 13,769.93 and 7,629.21 is: 11,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.92 : 13,769.93 = 7,629.21 : x
  2. Step 2: Convert to fraction form
    9,192.92/13,769.93 = 7,629.21/x
  3. Step 3: Cross multiply
    9,192.92x = 13,769.93 × 7,629.21
  4. Step 4: Simplify right side
    9,192.92x = 105,053,706.73
  5. Step 5: Solve for x
    x = 105,053,706.73/9,192.92
  6. Step 6: Final answer
    x = 11,427.68

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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.