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Finding the Fourth Proportional to 6,924, 9,555.16 and 3,780.22

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Solution

The fourth proportional to 6,924, 9,555.16 and 3,780.22 is: 5,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924 : 9,555.16 = 3,780.22 : x
  2. Step 2: Convert to fraction form
    6,924/9,555.16 = 3,780.22/x
  3. Step 3: Cross multiply
    6,924x = 9,555.16 × 3,780.22
  4. Step 4: Simplify right side
    6,924x = 36,120,606.94
  5. Step 5: Solve for x
    x = 36,120,606.94/6,924
  6. Step 6: Final answer
    x = 5,216.73

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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.