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Finding the Fourth Proportional to 6,933, 10,393.32 and 2,549.40

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Solution

The fourth proportional to 6,933, 10,393.32 and 2,549.40 is: 3,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933 : 10,393.32 = 2,549.40 : x
  2. Step 2: Convert to fraction form
    6,933/10,393.32 = 2,549.40/x
  3. Step 3: Cross multiply
    6,933x = 10,393.32 × 2,549.40
  4. Step 4: Simplify right side
    6,933x = 26,496,730.01
  5. Step 5: Solve for x
    x = 26,496,730.01/6,933
  6. Step 6: Final answer
    x = 3,821.83

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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.