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Finding the Fourth Proportional to 11,648.21, 17,474.04 and 5,408.87

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Solution

The fourth proportional to 11,648.21, 17,474.04 and 5,408.87 is: 8,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.21 : 17,474.04 = 5,408.87 : x
  2. Step 2: Convert to fraction form
    11,648.21/17,474.04 = 5,408.87/x
  3. Step 3: Cross multiply
    11,648.21x = 17,474.04 × 5,408.87
  4. Step 4: Simplify right side
    11,648.21x = 94,514,723.36
  5. Step 5: Solve for x
    x = 94,514,723.36/11,648.21
  6. Step 6: Final answer
    x = 8,114.10

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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.