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Finding the Fourth Proportional to 11,718.83, 16,172.03 and 6,414.14

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Solution

The fourth proportional to 11,718.83, 16,172.03 and 6,414.14 is: 8,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.83 : 16,172.03 = 6,414.14 : x
  2. Step 2: Convert to fraction form
    11,718.83/16,172.03 = 6,414.14/x
  3. Step 3: Cross multiply
    11,718.83x = 16,172.03 × 6,414.14
  4. Step 4: Simplify right side
    11,718.83x = 103,729,611.96
  5. Step 5: Solve for x
    x = 103,729,611.96/11,718.83
  6. Step 6: Final answer
    x = 8,851.54

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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.