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Finding the Fourth Proportional to 12,638.50, 17,441.13 and 8,448.10

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Solution

The fourth proportional to 12,638.50, 17,441.13 and 8,448.10 is: 11,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.50 : 17,441.13 = 8,448.10 : x
  2. Step 2: Convert to fraction form
    12,638.50/17,441.13 = 8,448.10/x
  3. Step 3: Cross multiply
    12,638.50x = 17,441.13 × 8,448.10
  4. Step 4: Simplify right side
    12,638.50x = 147,344,410.35
  5. Step 5: Solve for x
    x = 147,344,410.35/12,638.50
  6. Step 6: Final answer
    x = 11,658.38

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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.