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Finding the Fourth Proportional to 7,803.91, 11,713.97 and 4,523.41

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Solution

The fourth proportional to 7,803.91, 11,713.97 and 4,523.41 is: 6,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.91 : 11,713.97 = 4,523.41 : x
  2. Step 2: Convert to fraction form
    7,803.91/11,713.97 = 4,523.41/x
  3. Step 3: Cross multiply
    7,803.91x = 11,713.97 × 4,523.41
  4. Step 4: Simplify right side
    7,803.91x = 52,987,089.04
  5. Step 5: Solve for x
    x = 52,987,089.04/7,803.91
  6. Step 6: Final answer
    x = 6,789.81

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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.