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Finding the Fourth Proportional to 6,783.54, 9,361.06 and 3,758.53

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Solution

The fourth proportional to 6,783.54, 9,361.06 and 3,758.53 is: 5,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.54 : 9,361.06 = 3,758.53 : x
  2. Step 2: Convert to fraction form
    6,783.54/9,361.06 = 3,758.53/x
  3. Step 3: Cross multiply
    6,783.54x = 9,361.06 × 3,758.53
  4. Step 4: Simplify right side
    6,783.54x = 35,183,806.05
  5. Step 5: Solve for x
    x = 35,183,806.05/6,783.54
  6. Step 6: Final answer
    x = 5,186.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.