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Finding the Fourth Proportional to 17,096.25, 23,593.64 and 9,644.25

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Solution

The fourth proportional to 17,096.25, 23,593.64 and 9,644.25 is: 13,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.25 : 23,593.64 = 9,644.25 : x
  2. Step 2: Convert to fraction form
    17,096.25/23,593.64 = 9,644.25/x
  3. Step 3: Cross multiply
    17,096.25x = 23,593.64 × 9,644.25
  4. Step 4: Simplify right side
    17,096.25x = 227,542,962.57
  5. Step 5: Solve for x
    x = 227,542,962.57/17,096.25
  6. Step 6: Final answer
    x = 13,309.52

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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.