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Finding the Fourth Proportional to 12,297.22, 16,970.25 and 6,708.22

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Solution

The fourth proportional to 12,297.22, 16,970.25 and 6,708.22 is: 9,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.22 : 16,970.25 = 6,708.22 : x
  2. Step 2: Convert to fraction form
    12,297.22/16,970.25 = 6,708.22/x
  3. Step 3: Cross multiply
    12,297.22x = 16,970.25 × 6,708.22
  4. Step 4: Simplify right side
    12,297.22x = 113,840,170.46
  5. Step 5: Solve for x
    x = 113,840,170.46/12,297.22
  6. Step 6: Final answer
    x = 9,257.39

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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.