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Finding the Fourth Proportional to 6,574.62, 9,861.04 and 3,061.75

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Solution

The fourth proportional to 6,574.62, 9,861.04 and 3,061.75 is: 4,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.62 : 9,861.04 = 3,061.75 : x
  2. Step 2: Convert to fraction form
    6,574.62/9,861.04 = 3,061.75/x
  3. Step 3: Cross multiply
    6,574.62x = 9,861.04 × 3,061.75
  4. Step 4: Simplify right side
    6,574.62x = 30,192,036.88
  5. Step 5: Solve for x
    x = 30,192,036.88/6,574.62
  6. Step 6: Final answer
    x = 4,592.21

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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.