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Finding the Fourth Proportional to 11,475.99, 17,192.07 and 7,771.86

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Solution

The fourth proportional to 11,475.99, 17,192.07 and 7,771.86 is: 11,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.99 : 17,192.07 = 7,771.86 : x
  2. Step 2: Convert to fraction form
    11,475.99/17,192.07 = 7,771.86/x
  3. Step 3: Cross multiply
    11,475.99x = 17,192.07 × 7,771.86
  4. Step 4: Simplify right side
    11,475.99x = 133,614,361.15
  5. Step 5: Solve for x
    x = 133,614,361.15/11,475.99
  6. Step 6: Final answer
    x = 11,642.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.