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Finding the Fourth Proportional to 9,674.23, 14,511.34 and 7,738.73

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Solution

The fourth proportional to 9,674.23, 14,511.34 and 7,738.73 is: 11,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.23 : 14,511.34 = 7,738.73 : x
  2. Step 2: Convert to fraction form
    9,674.23/14,511.34 = 7,738.73/x
  3. Step 3: Cross multiply
    9,674.23x = 14,511.34 × 7,738.73
  4. Step 4: Simplify right side
    9,674.23x = 112,299,378.48
  5. Step 5: Solve for x
    x = 112,299,378.48/9,674.23
  6. Step 6: Final answer
    x = 11,608.10

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Similar ratio
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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.