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Finding the Fourth Proportional to 6,524.65, 9,778.69 and 3,054.25

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Solution

The fourth proportional to 6,524.65, 9,778.69 and 3,054.25 is: 4,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.65 : 9,778.69 = 3,054.25 : x
  2. Step 2: Convert to fraction form
    6,524.65/9,778.69 = 3,054.25/x
  3. Step 3: Cross multiply
    6,524.65x = 9,778.69 × 3,054.25
  4. Step 4: Simplify right side
    6,524.65x = 29,866,563.93
  5. Step 5: Solve for x
    x = 29,866,563.93/6,524.65
  6. Step 6: Final answer
    x = 4,577.50

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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.