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Finding the Fourth Proportional to 9,704.64, 14,556.97 and 7,747.68

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Solution

The fourth proportional to 9,704.64, 14,556.97 and 7,747.68 is: 11,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.64 : 14,556.97 = 7,747.68 : x
  2. Step 2: Convert to fraction form
    9,704.64/14,556.97 = 7,747.68/x
  3. Step 3: Cross multiply
    9,704.64x = 14,556.97 × 7,747.68
  4. Step 4: Simplify right side
    9,704.64x = 112,782,742.98
  5. Step 5: Solve for x
    x = 112,782,742.98/9,704.64
  6. Step 6: Final answer
    x = 11,621.52

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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.