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Finding the Fourth Proportional to 6,570.56, 9,860.16 and 3,105.92

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Solution

The fourth proportional to 6,570.56, 9,860.16 and 3,105.92 is: 4,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.56 : 9,860.16 = 3,105.92 : x
  2. Step 2: Convert to fraction form
    6,570.56/9,860.16 = 3,105.92/x
  3. Step 3: Cross multiply
    6,570.56x = 9,860.16 × 3,105.92
  4. Step 4: Simplify right side
    6,570.56x = 30,624,868.15
  5. Step 5: Solve for x
    x = 30,624,868.15/6,570.56
  6. Step 6: Final answer
    x = 4,660.92

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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.