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Finding the Fourth Proportional to 11,171.24, 16,745.48 and 7,014.14

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Solution

The fourth proportional to 11,171.24, 16,745.48 and 7,014.14 is: 10,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.24 : 16,745.48 = 7,014.14 : x
  2. Step 2: Convert to fraction form
    11,171.24/16,745.48 = 7,014.14/x
  3. Step 3: Cross multiply
    11,171.24x = 16,745.48 × 7,014.14
  4. Step 4: Simplify right side
    11,171.24x = 117,455,141.09
  5. Step 5: Solve for x
    x = 117,455,141.09/11,171.24
  6. Step 6: Final answer
    x = 10,514.06

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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.