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Finding the Fourth Proportional to 11,408.73, 17,098.11 and 7,029.06

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Solution

The fourth proportional to 11,408.73, 17,098.11 and 7,029.06 is: 10,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.73 : 17,098.11 = 7,029.06 : x
  2. Step 2: Convert to fraction form
    11,408.73/17,098.11 = 7,029.06/x
  3. Step 3: Cross multiply
    11,408.73x = 17,098.11 × 7,029.06
  4. Step 4: Simplify right side
    11,408.73x = 120,183,641.08
  5. Step 5: Solve for x
    x = 120,183,641.08/11,408.73
  6. Step 6: Final answer
    x = 10,534.36

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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.