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Finding the Fourth Proportional to 6,313.82, 9,471.16 and 2,152.74

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Solution

The fourth proportional to 6,313.82, 9,471.16 and 2,152.74 is: 3,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.82 : 9,471.16 = 2,152.74 : x
  2. Step 2: Convert to fraction form
    6,313.82/9,471.16 = 2,152.74/x
  3. Step 3: Cross multiply
    6,313.82x = 9,471.16 × 2,152.74
  4. Step 4: Simplify right side
    6,313.82x = 20,388,944.98
  5. Step 5: Solve for x
    x = 20,388,944.98/6,313.82
  6. Step 6: Final answer
    x = 3,229.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.