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Finding the Fourth Proportional to 9,997.01, 13,695.84 and 9,623.19

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Solution

The fourth proportional to 9,997.01, 13,695.84 and 9,623.19 is: 13,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.01 : 13,695.84 = 9,623.19 : x
  2. Step 2: Convert to fraction form
    9,997.01/13,695.84 = 9,623.19/x
  3. Step 3: Cross multiply
    9,997.01x = 13,695.84 × 9,623.19
  4. Step 4: Simplify right side
    9,997.01x = 131,797,670.53
  5. Step 5: Solve for x
    x = 131,797,670.53/9,997.01
  6. Step 6: Final answer
    x = 13,183.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.