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Finding the Fourth Proportional to 6,313.22, 8,713.80 and 4,299.96

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Solution

The fourth proportional to 6,313.22, 8,713.80 and 4,299.96 is: 5,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.22 : 8,713.80 = 4,299.96 : x
  2. Step 2: Convert to fraction form
    6,313.22/8,713.80 = 4,299.96/x
  3. Step 3: Cross multiply
    6,313.22x = 8,713.80 × 4,299.96
  4. Step 4: Simplify right side
    6,313.22x = 37,468,991.45
  5. Step 5: Solve for x
    x = 37,468,991.45/6,313.22
  6. Step 6: Final answer
    x = 5,935.01

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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.