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Finding the Fourth Proportional to 6,532.56, 9,792.56 and 4,185.99

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Solution

The fourth proportional to 6,532.56, 9,792.56 and 4,185.99 is: 6,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.56 : 9,792.56 = 4,185.99 : x
  2. Step 2: Convert to fraction form
    6,532.56/9,792.56 = 4,185.99/x
  3. Step 3: Cross multiply
    6,532.56x = 9,792.56 × 4,185.99
  4. Step 4: Simplify right side
    6,532.56x = 40,991,568.70
  5. Step 5: Solve for x
    x = 40,991,568.70/6,532.56
  6. Step 6: Final answer
    x = 6,274.96

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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.