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Finding the Fourth Proportional to 12,638.92, 17,435.10 and 9,649.57

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Solution

The fourth proportional to 12,638.92, 17,435.10 and 9,649.57 is: 13,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.92 : 17,435.10 = 9,649.57 : x
  2. Step 2: Convert to fraction form
    12,638.92/17,435.10 = 9,649.57/x
  3. Step 3: Cross multiply
    12,638.92x = 17,435.10 × 9,649.57
  4. Step 4: Simplify right side
    12,638.92x = 168,241,217.91
  5. Step 5: Solve for x
    x = 168,241,217.91/12,638.92
  6. Step 6: Final answer
    x = 13,311.36

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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.