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Finding the Fourth Proportional to 17,857.24, 26,788.26 and 7,466.56

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Solution

The fourth proportional to 17,857.24, 26,788.26 and 7,466.56 is: 11,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.24 : 26,788.26 = 7,466.56 : x
  2. Step 2: Convert to fraction form
    17,857.24/26,788.26 = 7,466.56/x
  3. Step 3: Cross multiply
    17,857.24x = 26,788.26 × 7,466.56
  4. Step 4: Simplify right side
    17,857.24x = 200,016,150.59
  5. Step 5: Solve for x
    x = 200,016,150.59/17,857.24
  6. Step 6: Final answer
    x = 11,200.84

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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.