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Finding the Fourth Proportional to 11,496.63, 17,161.04 and 9,863.67

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Solution

The fourth proportional to 11,496.63, 17,161.04 and 9,863.67 is: 14,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.63 : 17,161.04 = 9,863.67 : x
  2. Step 2: Convert to fraction form
    11,496.63/17,161.04 = 9,863.67/x
  3. Step 3: Cross multiply
    11,496.63x = 17,161.04 × 9,863.67
  4. Step 4: Simplify right side
    11,496.63x = 169,270,896.69
  5. Step 5: Solve for x
    x = 169,270,896.69/11,496.63
  6. Step 6: Final answer
    x = 14,723.52

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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.