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Finding the Fourth Proportional to 6,824.50, 10,239.15 and 3,364.18

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Solution

The fourth proportional to 6,824.50, 10,239.15 and 3,364.18 is: 5,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.50 : 10,239.15 = 3,364.18 : x
  2. Step 2: Convert to fraction form
    6,824.50/10,239.15 = 3,364.18/x
  3. Step 3: Cross multiply
    6,824.50x = 10,239.15 × 3,364.18
  4. Step 4: Simplify right side
    6,824.50x = 34,446,343.65
  5. Step 5: Solve for x
    x = 34,446,343.65/6,824.50
  6. Step 6: Final answer
    x = 5,047.45

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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.