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Finding the Fourth Proportional to 11,758.56, 17,518.24 and 11,201.28

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Solution

The fourth proportional to 11,758.56, 17,518.24 and 11,201.28 is: 16,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.56 : 17,518.24 = 11,201.28 : x
  2. Step 2: Convert to fraction form
    11,758.56/17,518.24 = 11,201.28/x
  3. Step 3: Cross multiply
    11,758.56x = 17,518.24 × 11,201.28
  4. Step 4: Simplify right side
    11,758.56x = 196,226,711.35
  5. Step 5: Solve for x
    x = 196,226,711.35/11,758.56
  6. Step 6: Final answer
    x = 16,687.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.