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Finding the Fourth Proportional to 6,278.62, 9,420.22 and 2,383

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Solution

The fourth proportional to 6,278.62, 9,420.22 and 2,383 is: 3,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.62 : 9,420.22 = 2,383 : x
  2. Step 2: Convert to fraction form
    6,278.62/9,420.22 = 2,383/x
  3. Step 3: Cross multiply
    6,278.62x = 9,420.22 × 2,383
  4. Step 4: Simplify right side
    6,278.62x = 22,448,384.26
  5. Step 5: Solve for x
    x = 22,448,384.26/6,278.62
  6. Step 6: Final answer
    x = 3,575.37

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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.