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Finding the Fourth Proportional to 7,161.98, 10,669.11 and 6,944.33

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Solution

The fourth proportional to 7,161.98, 10,669.11 and 6,944.33 is: 10,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.98 : 10,669.11 = 6,944.33 : x
  2. Step 2: Convert to fraction form
    7,161.98/10,669.11 = 6,944.33/x
  3. Step 3: Cross multiply
    7,161.98x = 10,669.11 × 6,944.33
  4. Step 4: Simplify right side
    7,161.98x = 74,089,767.30
  5. Step 5: Solve for x
    x = 74,089,767.30/7,161.98
  6. Step 6: Final answer
    x = 10,344.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.