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Finding the Fourth Proportional to 12,524.22, 17,321.04 and 10,949.58

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Solution

The fourth proportional to 12,524.22, 17,321.04 and 10,949.58 is: 15,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.22 : 17,321.04 = 10,949.58 : x
  2. Step 2: Convert to fraction form
    12,524.22/17,321.04 = 10,949.58/x
  3. Step 3: Cross multiply
    12,524.22x = 17,321.04 × 10,949.58
  4. Step 4: Simplify right side
    12,524.22x = 189,658,113.16
  5. Step 5: Solve for x
    x = 189,658,113.16/12,524.22
  6. Step 6: Final answer
    x = 15,143.31

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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.