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Finding the Fourth Proportional to 8,313.67, 11,450.55 and 7,194.64

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Solution

The fourth proportional to 8,313.67, 11,450.55 and 7,194.64 is: 9,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.67 : 11,450.55 = 7,194.64 : x
  2. Step 2: Convert to fraction form
    8,313.67/11,450.55 = 7,194.64/x
  3. Step 3: Cross multiply
    8,313.67x = 11,450.55 × 7,194.64
  4. Step 4: Simplify right side
    8,313.67x = 82,382,585.05
  5. Step 5: Solve for x
    x = 82,382,585.05/8,313.67
  6. Step 6: Final answer
    x = 9,909.29

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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.