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Finding the Fourth Proportional to 6,477.28, 9,723.63 and 6,213.22

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Solution

The fourth proportional to 6,477.28, 9,723.63 and 6,213.22 is: 9,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.28 : 9,723.63 = 6,213.22 : x
  2. Step 2: Convert to fraction form
    6,477.28/9,723.63 = 6,213.22/x
  3. Step 3: Cross multiply
    6,477.28x = 9,723.63 × 6,213.22
  4. Step 4: Simplify right side
    6,477.28x = 60,415,052.39
  5. Step 5: Solve for x
    x = 60,415,052.39/6,477.28
  6. Step 6: Final answer
    x = 9,327.23

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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.