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Finding the Fourth Proportional to 6,412.46, 8,849.31 and 3,761.78

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Solution

The fourth proportional to 6,412.46, 8,849.31 and 3,761.78 is: 5,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.46 : 8,849.31 = 3,761.78 : x
  2. Step 2: Convert to fraction form
    6,412.46/8,849.31 = 3,761.78/x
  3. Step 3: Cross multiply
    6,412.46x = 8,849.31 × 3,761.78
  4. Step 4: Simplify right side
    6,412.46x = 33,289,157.37
  5. Step 5: Solve for x
    x = 33,289,157.37/6,412.46
  6. Step 6: Final answer
    x = 5,191.32

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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.