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Finding the Fourth Proportional to 10,671.71, 14,731.94 and 6,194.60

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Solution

The fourth proportional to 10,671.71, 14,731.94 and 6,194.60 is: 8,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.71 : 14,731.94 = 6,194.60 : x
  2. Step 2: Convert to fraction form
    10,671.71/14,731.94 = 6,194.60/x
  3. Step 3: Cross multiply
    10,671.71x = 14,731.94 × 6,194.60
  4. Step 4: Simplify right side
    10,671.71x = 91,258,370.89
  5. Step 5: Solve for x
    x = 91,258,370.89/10,671.71
  6. Step 6: Final answer
    x = 8,551.43

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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.