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Finding the Fourth Proportional to 11,619.73, 16,033.86 and 6,838.62

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Solution

The fourth proportional to 11,619.73, 16,033.86 and 6,838.62 is: 9,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.73 : 16,033.86 = 6,838.62 : x
  2. Step 2: Convert to fraction form
    11,619.73/16,033.86 = 6,838.62/x
  3. Step 3: Cross multiply
    11,619.73x = 16,033.86 × 6,838.62
  4. Step 4: Simplify right side
    11,619.73x = 109,649,475.67
  5. Step 5: Solve for x
    x = 109,649,475.67/11,619.73
  6. Step 6: Final answer
    x = 9,436.49

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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.