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Finding the Fourth Proportional to 17,584.63, 26,383.42 and 9,264.31

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Solution

The fourth proportional to 17,584.63, 26,383.42 and 9,264.31 is: 13,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.63 : 26,383.42 = 9,264.31 : x
  2. Step 2: Convert to fraction form
    17,584.63/26,383.42 = 9,264.31/x
  3. Step 3: Cross multiply
    17,584.63x = 26,383.42 × 9,264.31
  4. Step 4: Simplify right side
    17,584.63x = 244,424,049.82
  5. Step 5: Solve for x
    x = 244,424,049.82/17,584.63
  6. Step 6: Final answer
    x = 13,899.87

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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.