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Finding the Fourth Proportional to 6,302.96, 8,694.48 and 3,941

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Solution

The fourth proportional to 6,302.96, 8,694.48 and 3,941 is: 5,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.96 : 8,694.48 = 3,941 : x
  2. Step 2: Convert to fraction form
    6,302.96/8,694.48 = 3,941/x
  3. Step 3: Cross multiply
    6,302.96x = 8,694.48 × 3,941
  4. Step 4: Simplify right side
    6,302.96x = 34,264,945.68
  5. Step 5: Solve for x
    x = 34,264,945.68/6,302.96
  6. Step 6: Final answer
    x = 5,436.33

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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.