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Finding the Fourth Proportional to 12,394.80, 18,596.75 and 5,734.49

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Solution

The fourth proportional to 12,394.80, 18,596.75 and 5,734.49 is: 8,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.80 : 18,596.75 = 5,734.49 : x
  2. Step 2: Convert to fraction form
    12,394.80/18,596.75 = 5,734.49/x
  3. Step 3: Cross multiply
    12,394.80x = 18,596.75 × 5,734.49
  4. Step 4: Simplify right side
    12,394.80x = 106,642,755.25
  5. Step 5: Solve for x
    x = 106,642,755.25/12,394.80
  6. Step 6: Final answer
    x = 8,603.83

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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.