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Finding the Fourth Proportional to 11,773.88, 16,247.96 and 6,469.02

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Solution

The fourth proportional to 11,773.88, 16,247.96 and 6,469.02 is: 8,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.88 : 16,247.96 = 6,469.02 : x
  2. Step 2: Convert to fraction form
    11,773.88/16,247.96 = 6,469.02/x
  3. Step 3: Cross multiply
    11,773.88x = 16,247.96 × 6,469.02
  4. Step 4: Simplify right side
    11,773.88x = 105,108,378.20
  5. Step 5: Solve for x
    x = 105,108,378.20/11,773.88
  6. Step 6: Final answer
    x = 8,927.25

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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.