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Finding the Fourth Proportional to 9,734.44, 14,601.66 and 7,790.44

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Solution

The fourth proportional to 9,734.44, 14,601.66 and 7,790.44 is: 11,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.44 : 14,601.66 = 7,790.44 : x
  2. Step 2: Convert to fraction form
    9,734.44/14,601.66 = 7,790.44/x
  3. Step 3: Cross multiply
    9,734.44x = 14,601.66 × 7,790.44
  4. Step 4: Simplify right side
    9,734.44x = 113,753,356.13
  5. Step 5: Solve for x
    x = 113,753,356.13/9,734.44
  6. Step 6: Final answer
    x = 11,685.66

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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.