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Finding the Fourth Proportional to 11,676.30, 16,113.94 and 6,371.16

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Solution

The fourth proportional to 11,676.30, 16,113.94 and 6,371.16 is: 8,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.30 : 16,113.94 = 6,371.16 : x
  2. Step 2: Convert to fraction form
    11,676.30/16,113.94 = 6,371.16/x
  3. Step 3: Cross multiply
    11,676.30x = 16,113.94 × 6,371.16
  4. Step 4: Simplify right side
    11,676.30x = 102,664,413.62
  5. Step 5: Solve for x
    x = 102,664,413.62/11,676.30
  6. Step 6: Final answer
    x = 8,792.55

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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.