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Finding the Fourth Proportional to 12,797.24, 17,648.48 and 8,769.92

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Solution

The fourth proportional to 12,797.24, 17,648.48 and 8,769.92 is: 12,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.24 : 17,648.48 = 8,769.92 : x
  2. Step 2: Convert to fraction form
    12,797.24/17,648.48 = 8,769.92/x
  3. Step 3: Cross multiply
    12,797.24x = 17,648.48 × 8,769.92
  4. Step 4: Simplify right side
    12,797.24x = 154,775,790.68
  5. Step 5: Solve for x
    x = 154,775,790.68/12,797.24
  6. Step 6: Final answer
    x = 12,094.47

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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.