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Finding the Fourth Proportional to 12,193.80, 18,287.96 and 7,264.84

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Solution

The fourth proportional to 12,193.80, 18,287.96 and 7,264.84 is: 10,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.80 : 18,287.96 = 7,264.84 : x
  2. Step 2: Convert to fraction form
    12,193.80/18,287.96 = 7,264.84/x
  3. Step 3: Cross multiply
    12,193.80x = 18,287.96 × 7,264.84
  4. Step 4: Simplify right side
    12,193.80x = 132,859,103.33
  5. Step 5: Solve for x
    x = 132,859,103.33/12,193.80
  6. Step 6: Final answer
    x = 10,895.63

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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.