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Finding the Fourth Proportional to 6,376.98, 9,565.38 and 3,090.36

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Solution

The fourth proportional to 6,376.98, 9,565.38 and 3,090.36 is: 4,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.98 : 9,565.38 = 3,090.36 : x
  2. Step 2: Convert to fraction form
    6,376.98/9,565.38 = 3,090.36/x
  3. Step 3: Cross multiply
    6,376.98x = 9,565.38 × 3,090.36
  4. Step 4: Simplify right side
    6,376.98x = 29,560,467.74
  5. Step 5: Solve for x
    x = 29,560,467.74/6,376.98
  6. Step 6: Final answer
    x = 4,635.50

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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.