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Finding the Fourth Proportional to 7,194.22, 9,930.81 and 5,622.82

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Solution

The fourth proportional to 7,194.22, 9,930.81 and 5,622.82 is: 7,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.22 : 9,930.81 = 5,622.82 : x
  2. Step 2: Convert to fraction form
    7,194.22/9,930.81 = 5,622.82/x
  3. Step 3: Cross multiply
    7,194.22x = 9,930.81 × 5,622.82
  4. Step 4: Simplify right side
    7,194.22x = 55,839,157.08
  5. Step 5: Solve for x
    x = 55,839,157.08/7,194.22
  6. Step 6: Final answer
    x = 7,761.67

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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.