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Finding the Fourth Proportional to 12,148.26, 16,764.78 and 6,843.06

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Solution

The fourth proportional to 12,148.26, 16,764.78 and 6,843.06 is: 9,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.26 : 16,764.78 = 6,843.06 : x
  2. Step 2: Convert to fraction form
    12,148.26/16,764.78 = 6,843.06/x
  3. Step 3: Cross multiply
    12,148.26x = 16,764.78 × 6,843.06
  4. Step 4: Simplify right side
    12,148.26x = 114,722,395.43
  5. Step 5: Solve for x
    x = 114,722,395.43/12,148.26
  6. Step 6: Final answer
    x = 9,443.52

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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.