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Finding the Fourth Proportional to 12,284, 16,951.92 and 6,695.04

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Solution

The fourth proportional to 12,284, 16,951.92 and 6,695.04 is: 9,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 16,951.92 = 6,695.04 : x
  2. Step 2: Convert to fraction form
    12,284/16,951.92 = 6,695.04/x
  3. Step 3: Cross multiply
    12,284x = 16,951.92 × 6,695.04
  4. Step 4: Simplify right side
    12,284x = 113,493,782.48
  5. Step 5: Solve for x
    x = 113,493,782.48/12,284
  6. Step 6: Final answer
    x = 9,239.16

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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.