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Finding the Fourth Proportional to 11,714.60, 16,173.96 and 6,936.08

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Solution

The fourth proportional to 11,714.60, 16,173.96 and 6,936.08 is: 9,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.60 : 16,173.96 = 6,936.08 : x
  2. Step 2: Convert to fraction form
    11,714.60/16,173.96 = 6,936.08/x
  3. Step 3: Cross multiply
    11,714.60x = 16,173.96 × 6,936.08
  4. Step 4: Simplify right side
    11,714.60x = 112,183,880.48
  5. Step 5: Solve for x
    x = 112,183,880.48/11,714.60
  6. Step 6: Final answer
    x = 9,576.42

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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.