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Finding the Fourth Proportional to 6,270.95, 9,393.64 and 2,974.03

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Solution

The fourth proportional to 6,270.95, 9,393.64 and 2,974.03 is: 4,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.95 : 9,393.64 = 2,974.03 : x
  2. Step 2: Convert to fraction form
    6,270.95/9,393.64 = 2,974.03/x
  3. Step 3: Cross multiply
    6,270.95x = 9,393.64 × 2,974.03
  4. Step 4: Simplify right side
    6,270.95x = 27,936,967.17
  5. Step 5: Solve for x
    x = 27,936,967.17/6,270.95
  6. Step 6: Final answer
    x = 4,454.98

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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.