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Finding the Fourth Proportional to 9,961.00, 13,743.96 and 8,352.42

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Solution

The fourth proportional to 9,961.00, 13,743.96 and 8,352.42 is: 11,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.00 : 13,743.96 = 8,352.42 : x
  2. Step 2: Convert to fraction form
    9,961.00/13,743.96 = 8,352.42/x
  3. Step 3: Cross multiply
    9,961.00x = 13,743.96 × 8,352.42
  4. Step 4: Simplify right side
    9,961.00x = 114,795,313.25
  5. Step 5: Solve for x
    x = 114,795,313.25/9,961.00
  6. Step 6: Final answer
    x = 11,524.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.