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Finding the Fourth Proportional to 10,766.13, 14,871.04 and 8,232.86

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Solution

The fourth proportional to 10,766.13, 14,871.04 and 8,232.86 is: 11,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.13 : 14,871.04 = 8,232.86 : x
  2. Step 2: Convert to fraction form
    10,766.13/14,871.04 = 8,232.86/x
  3. Step 3: Cross multiply
    10,766.13x = 14,871.04 × 8,232.86
  4. Step 4: Simplify right side
    10,766.13x = 122,431,095.44
  5. Step 5: Solve for x
    x = 122,431,095.44/10,766.13
  6. Step 6: Final answer
    x = 11,371.88

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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.