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Finding the Fourth Proportional to 6,313.77, 8,713.31 and 3,796.02

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Solution

The fourth proportional to 6,313.77, 8,713.31 and 3,796.02 is: 5,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.77 : 8,713.31 = 3,796.02 : x
  2. Step 2: Convert to fraction form
    6,313.77/8,713.31 = 3,796.02/x
  3. Step 3: Cross multiply
    6,313.77x = 8,713.31 × 3,796.02
  4. Step 4: Simplify right side
    6,313.77x = 33,075,880.05
  5. Step 5: Solve for x
    x = 33,075,880.05/6,313.77
  6. Step 6: Final answer
    x = 5,238.69

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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.