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Finding the Fourth Proportional to 13,843.50, 19,106.19 and 8,257.74

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Solution

The fourth proportional to 13,843.50, 19,106.19 and 8,257.74 is: 11,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.50 : 19,106.19 = 8,257.74 : x
  2. Step 2: Convert to fraction form
    13,843.50/19,106.19 = 8,257.74/x
  3. Step 3: Cross multiply
    13,843.50x = 19,106.19 × 8,257.74
  4. Step 4: Simplify right side
    13,843.50x = 157,773,949.41
  5. Step 5: Solve for x
    x = 157,773,949.41/13,843.50
  6. Step 6: Final answer
    x = 11,396.97

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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.