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Finding the Fourth Proportional to 6,795.46, 10,197 and 3,675.40

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Solution

The fourth proportional to 6,795.46, 10,197 and 3,675.40 is: 5,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.46 : 10,197 = 3,675.40 : x
  2. Step 2: Convert to fraction form
    6,795.46/10,197 = 3,675.40/x
  3. Step 3: Cross multiply
    6,795.46x = 10,197 × 3,675.40
  4. Step 4: Simplify right side
    6,795.46x = 37,478,053.80
  5. Step 5: Solve for x
    x = 37,478,053.80/6,795.46
  6. Step 6: Final answer
    x = 5,515.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.