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Finding the Fourth Proportional to 6,294.98, 9,442.28 and 2,594.39

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Solution

The fourth proportional to 6,294.98, 9,442.28 and 2,594.39 is: 3,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.98 : 9,442.28 = 2,594.39 : x
  2. Step 2: Convert to fraction form
    6,294.98/9,442.28 = 2,594.39/x
  3. Step 3: Cross multiply
    6,294.98x = 9,442.28 × 2,594.39
  4. Step 4: Simplify right side
    6,294.98x = 24,496,896.63
  5. Step 5: Solve for x
    x = 24,496,896.63/6,294.98
  6. Step 6: Final answer
    x = 3,891.50

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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.