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Finding the Fourth Proportional to 9,663.67, 13,235.94 and 9,096.26

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Solution

The fourth proportional to 9,663.67, 13,235.94 and 9,096.26 is: 12,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.67 : 13,235.94 = 9,096.26 : x
  2. Step 2: Convert to fraction form
    9,663.67/13,235.94 = 9,096.26/x
  3. Step 3: Cross multiply
    9,663.67x = 13,235.94 × 9,096.26
  4. Step 4: Simplify right side
    9,663.67x = 120,397,506.10
  5. Step 5: Solve for x
    x = 120,397,506.10/9,663.67
  6. Step 6: Final answer
    x = 12,458.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.