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Finding the Fourth Proportional to 9,236, 12,745.77 and 5,044.34

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Solution

The fourth proportional to 9,236, 12,745.77 and 5,044.34 is: 6,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236 : 12,745.77 = 5,044.34 : x
  2. Step 2: Convert to fraction form
    9,236/12,745.77 = 5,044.34/x
  3. Step 3: Cross multiply
    9,236x = 12,745.77 × 5,044.34
  4. Step 4: Simplify right side
    9,236x = 64,293,997.44
  5. Step 5: Solve for x
    x = 64,293,997.44/9,236
  6. Step 6: Final answer
    x = 6,961.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.