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Finding the Fourth Proportional to 6,803.54, 10,209.09 and 3,683.50

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Solution

The fourth proportional to 6,803.54, 10,209.09 and 3,683.50 is: 5,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.54 : 10,209.09 = 3,683.50 : x
  2. Step 2: Convert to fraction form
    6,803.54/10,209.09 = 3,683.50/x
  3. Step 3: Cross multiply
    6,803.54x = 10,209.09 × 3,683.50
  4. Step 4: Simplify right side
    6,803.54x = 37,605,183.02
  5. Step 5: Solve for x
    x = 37,605,183.02/6,803.54
  6. Step 6: Final answer
    x = 5,527.30

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1.5x scale

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.