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Finding the Fourth Proportional to 11,614.44, 16,027.98 and 6,309.30

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Solution

The fourth proportional to 11,614.44, 16,027.98 and 6,309.30 is: 8,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.44 : 16,027.98 = 6,309.30 : x
  2. Step 2: Convert to fraction form
    11,614.44/16,027.98 = 6,309.30/x
  3. Step 3: Cross multiply
    11,614.44x = 16,027.98 × 6,309.30
  4. Step 4: Simplify right side
    11,614.44x = 101,125,334.21
  5. Step 5: Solve for x
    x = 101,125,334.21/11,614.44
  6. Step 6: Final answer
    x = 8,706.86

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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.