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Finding the Fourth Proportional to 6,270.81, 9,406.28 and 2,570.46

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Solution

The fourth proportional to 6,270.81, 9,406.28 and 2,570.46 is: 3,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.81 : 9,406.28 = 2,570.46 : x
  2. Step 2: Convert to fraction form
    6,270.81/9,406.28 = 2,570.46/x
  3. Step 3: Cross multiply
    6,270.81x = 9,406.28 × 2,570.46
  4. Step 4: Simplify right side
    6,270.81x = 24,178,466.49
  5. Step 5: Solve for x
    x = 24,178,466.49/6,270.81
  6. Step 6: Final answer
    x = 3,855.72

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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.