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Finding the Fourth Proportional to 6,930, 9,563.40 and 3,786.21

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Solution

The fourth proportional to 6,930, 9,563.40 and 3,786.21 is: 5,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930 : 9,563.40 = 3,786.21 : x
  2. Step 2: Convert to fraction form
    6,930/9,563.40 = 3,786.21/x
  3. Step 3: Cross multiply
    6,930x = 9,563.40 × 3,786.21
  4. Step 4: Simplify right side
    6,930x = 36,209,040.71
  5. Step 5: Solve for x
    x = 36,209,040.71/6,930
  6. Step 6: Final answer
    x = 5,224.97

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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.