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Finding the Fourth Proportional to 8,662.62, 11,957.64 and 6,744.63

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Solution

The fourth proportional to 8,662.62, 11,957.64 and 6,744.63 is: 9,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.62 : 11,957.64 = 6,744.63 : x
  2. Step 2: Convert to fraction form
    8,662.62/11,957.64 = 6,744.63/x
  3. Step 3: Cross multiply
    8,662.62x = 11,957.64 × 6,744.63
  4. Step 4: Simplify right side
    8,662.62x = 80,649,787.34
  5. Step 5: Solve for x
    x = 80,649,787.34/8,662.62
  6. Step 6: Final answer
    x = 9,310.10

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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.