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Finding the Fourth Proportional to 6,765.72, 9,338.14 and 3,971.80

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Solution

The fourth proportional to 6,765.72, 9,338.14 and 3,971.80 is: 5,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.72 : 9,338.14 = 3,971.80 : x
  2. Step 2: Convert to fraction form
    6,765.72/9,338.14 = 3,971.80/x
  3. Step 3: Cross multiply
    6,765.72x = 9,338.14 × 3,971.80
  4. Step 4: Simplify right side
    6,765.72x = 37,089,224.45
  5. Step 5: Solve for x
    x = 37,089,224.45/6,765.72
  6. Step 6: Final answer
    x = 5,481.93

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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.