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Finding the Fourth Proportional to 12,148.44, 16,764.62 and 6,843.14

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Solution

The fourth proportional to 12,148.44, 16,764.62 and 6,843.14 is: 9,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.44 : 16,764.62 = 6,843.14 : x
  2. Step 2: Convert to fraction form
    12,148.44/16,764.62 = 6,843.14/x
  3. Step 3: Cross multiply
    12,148.44x = 16,764.62 × 6,843.14
  4. Step 4: Simplify right side
    12,148.44x = 114,722,641.71
  5. Step 5: Solve for x
    x = 114,722,641.71/12,148.44
  6. Step 6: Final answer
    x = 9,443.41

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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.