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Finding the Fourth Proportional to 11,967.16, 16,515.22 and 6,662.31

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Solution

The fourth proportional to 11,967.16, 16,515.22 and 6,662.31 is: 9,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.16 : 16,515.22 = 6,662.31 : x
  2. Step 2: Convert to fraction form
    11,967.16/16,515.22 = 6,662.31/x
  3. Step 3: Cross multiply
    11,967.16x = 16,515.22 × 6,662.31
  4. Step 4: Simplify right side
    11,967.16x = 110,029,515.36
  5. Step 5: Solve for x
    x = 110,029,515.36/11,967.16
  6. Step 6: Final answer
    x = 9,194.29

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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.