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Finding the Fourth Proportional to 6,391.65, 9,583.56 and 2,491.50

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Solution

The fourth proportional to 6,391.65, 9,583.56 and 2,491.50 is: 3,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.65 : 9,583.56 = 2,491.50 : x
  2. Step 2: Convert to fraction form
    6,391.65/9,583.56 = 2,491.50/x
  3. Step 3: Cross multiply
    6,391.65x = 9,583.56 × 2,491.50
  4. Step 4: Simplify right side
    6,391.65x = 23,877,439.74
  5. Step 5: Solve for x
    x = 23,877,439.74/6,391.65
  6. Step 6: Final answer
    x = 3,735.72

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Why These Related Problems?

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