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Finding the Fourth Proportional to 6,270.20, 9,405.29 and 1,653.20

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Solution

The fourth proportional to 6,270.20, 9,405.29 and 1,653.20 is: 2,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.20 : 9,405.29 = 1,653.20 : x
  2. Step 2: Convert to fraction form
    6,270.20/9,405.29 = 1,653.20/x
  3. Step 3: Cross multiply
    6,270.20x = 9,405.29 × 1,653.20
  4. Step 4: Simplify right side
    6,270.20x = 15,548,770.14
  5. Step 5: Solve for x
    x = 15,548,770.14/6,270.20
  6. Step 6: Final answer
    x = 2,479.79

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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.