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Finding the Fourth Proportional to 17,028, 25,523.82 and 8,243.64

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Solution

The fourth proportional to 17,028, 25,523.82 and 8,243.64 is: 12,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028 : 25,523.82 = 8,243.64 : x
  2. Step 2: Convert to fraction form
    17,028/25,523.82 = 8,243.64/x
  3. Step 3: Cross multiply
    17,028x = 25,523.82 × 8,243.64
  4. Step 4: Simplify right side
    17,028x = 210,409,183.50
  5. Step 5: Solve for x
    x = 210,409,183.50/17,028
  6. Step 6: Final answer
    x = 12,356.66

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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.