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Finding the Fourth Proportional to 9,896.96, 14,771.10 and 8,556.82

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Solution

The fourth proportional to 9,896.96, 14,771.10 and 8,556.82 is: 12,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.96 : 14,771.10 = 8,556.82 : x
  2. Step 2: Convert to fraction form
    9,896.96/14,771.10 = 8,556.82/x
  3. Step 3: Cross multiply
    9,896.96x = 14,771.10 × 8,556.82
  4. Step 4: Simplify right side
    9,896.96x = 126,393,722.15
  5. Step 5: Solve for x
    x = 126,393,722.15/9,896.96
  6. Step 6: Final answer
    x = 12,770.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.