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Finding the Fourth Proportional to 9,258.76, 13,876.22 and 3,408.44

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Solution

The fourth proportional to 9,258.76, 13,876.22 and 3,408.44 is: 5,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.76 : 13,876.22 = 3,408.44 : x
  2. Step 2: Convert to fraction form
    9,258.76/13,876.22 = 3,408.44/x
  3. Step 3: Cross multiply
    9,258.76x = 13,876.22 × 3,408.44
  4. Step 4: Simplify right side
    9,258.76x = 47,296,263.30
  5. Step 5: Solve for x
    x = 47,296,263.30/9,258.76
  6. Step 6: Final answer
    x = 5,108.27

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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.