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Finding the Fourth Proportional to 11,800.41, 16,283.94 and 6,494.21

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Solution

The fourth proportional to 11,800.41, 16,283.94 and 6,494.21 is: 8,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.41 : 16,283.94 = 6,494.21 : x
  2. Step 2: Convert to fraction form
    11,800.41/16,283.94 = 6,494.21/x
  3. Step 3: Cross multiply
    11,800.41x = 16,283.94 × 6,494.21
  4. Step 4: Simplify right side
    11,800.41x = 105,751,244.57
  5. Step 5: Solve for x
    x = 105,751,244.57/11,800.41
  6. Step 6: Final answer
    x = 8,961.66

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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.