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Finding the Fourth Proportional to 6,645.48, 9,163.80 and 4,964.22

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Solution

The fourth proportional to 6,645.48, 9,163.80 and 4,964.22 is: 6,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.48 : 9,163.80 = 4,964.22 : x
  2. Step 2: Convert to fraction form
    6,645.48/9,163.80 = 4,964.22/x
  3. Step 3: Cross multiply
    6,645.48x = 9,163.80 × 4,964.22
  4. Step 4: Simplify right side
    6,645.48x = 45,491,119.24
  5. Step 5: Solve for x
    x = 45,491,119.24/6,645.48
  6. Step 6: Final answer
    x = 6,845.42

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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.