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Finding the Fourth Proportional to 17,185.96, 25,764.24 and 7,822.64

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Solution

The fourth proportional to 17,185.96, 25,764.24 and 7,822.64 is: 11,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.96 : 25,764.24 = 7,822.64 : x
  2. Step 2: Convert to fraction form
    17,185.96/25,764.24 = 7,822.64/x
  3. Step 3: Cross multiply
    17,185.96x = 25,764.24 × 7,822.64
  4. Step 4: Simplify right side
    17,185.96x = 201,544,323.22
  5. Step 5: Solve for x
    x = 201,544,323.22/17,185.96
  6. Step 6: Final answer
    x = 11,727.27

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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.