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Finding the Fourth Proportional to 12,297, 16,969.92 and 6,708

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Solution

The fourth proportional to 12,297, 16,969.92 and 6,708 is: 9,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297 : 16,969.92 = 6,708 : x
  2. Step 2: Convert to fraction form
    12,297/16,969.92 = 6,708/x
  3. Step 3: Cross multiply
    12,297x = 16,969.92 × 6,708
  4. Step 4: Simplify right side
    12,297x = 113,834,223.36
  5. Step 5: Solve for x
    x = 113,834,223.36/12,297
  6. Step 6: Final answer
    x = 9,257.07

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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.