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Finding the Fourth Proportional to 12,367.76, 17,067.36 and 6,702.48

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Solution

The fourth proportional to 12,367.76, 17,067.36 and 6,702.48 is: 9,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.76 : 17,067.36 = 6,702.48 : x
  2. Step 2: Convert to fraction form
    12,367.76/17,067.36 = 6,702.48/x
  3. Step 3: Cross multiply
    12,367.76x = 17,067.36 × 6,702.48
  4. Step 4: Simplify right side
    12,367.76x = 114,393,639.05
  5. Step 5: Solve for x
    x = 114,393,639.05/12,367.76
  6. Step 6: Final answer
    x = 9,249.34

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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.