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Finding the Fourth Proportional to 6,365.65, 9,538.80 and 3,074.80

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Solution

The fourth proportional to 6,365.65, 9,538.80 and 3,074.80 is: 4,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.65 : 9,538.80 = 3,074.80 : x
  2. Step 2: Convert to fraction form
    6,365.65/9,538.80 = 3,074.80/x
  3. Step 3: Cross multiply
    6,365.65x = 9,538.80 × 3,074.80
  4. Step 4: Simplify right side
    6,365.65x = 29,329,902.24
  5. Step 5: Solve for x
    x = 29,329,902.24/6,365.65
  6. Step 6: Final answer
    x = 4,607.53

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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.