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Finding the Fourth Proportional to 9,794.96, 14,672.83 and 5,623.26

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Solution

The fourth proportional to 9,794.96, 14,672.83 and 5,623.26 is: 8,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.96 : 14,672.83 = 5,623.26 : x
  2. Step 2: Convert to fraction form
    9,794.96/14,672.83 = 5,623.26/x
  3. Step 3: Cross multiply
    9,794.96x = 14,672.83 × 5,623.26
  4. Step 4: Simplify right side
    9,794.96x = 82,509,138.03
  5. Step 5: Solve for x
    x = 82,509,138.03/9,794.96
  6. Step 6: Final answer
    x = 8,423.63

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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.