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Finding the Fourth Proportional to 11,685.16, 16,116.42 and 6,968.44

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Solution

The fourth proportional to 11,685.16, 16,116.42 and 6,968.44 is: 9,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.16 : 16,116.42 = 6,968.44 : x
  2. Step 2: Convert to fraction form
    11,685.16/16,116.42 = 6,968.44/x
  3. Step 3: Cross multiply
    11,685.16x = 16,116.42 × 6,968.44
  4. Step 4: Simplify right side
    11,685.16x = 112,306,305.78
  5. Step 5: Solve for x
    x = 112,306,305.78/11,685.16
  6. Step 6: Final answer
    x = 9,611.02

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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.