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Finding the Fourth Proportional to 9,744.54, 14,600.13 and 8,194.56

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Solution

The fourth proportional to 9,744.54, 14,600.13 and 8,194.56 is: 12,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.54 : 14,600.13 = 8,194.56 : x
  2. Step 2: Convert to fraction form
    9,744.54/14,600.13 = 8,194.56/x
  3. Step 3: Cross multiply
    9,744.54x = 14,600.13 × 8,194.56
  4. Step 4: Simplify right side
    9,744.54x = 119,641,641.29
  5. Step 5: Solve for x
    x = 119,641,641.29/9,744.54
  6. Step 6: Final answer
    x = 12,277.81

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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.