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Finding the Fourth Proportional to 12,398.80, 18,602.74 and 5,738.48

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Solution

The fourth proportional to 12,398.80, 18,602.74 and 5,738.48 is: 8,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.80 : 18,602.74 = 5,738.48 : x
  2. Step 2: Convert to fraction form
    12,398.80/18,602.74 = 5,738.48/x
  3. Step 3: Cross multiply
    12,398.80x = 18,602.74 × 5,738.48
  4. Step 4: Simplify right side
    12,398.80x = 106,751,451.44
  5. Step 5: Solve for x
    x = 106,751,451.44/12,398.80
  6. Step 6: Final answer
    x = 8,609.82

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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.