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Finding the Fourth Proportional to 8,361.63, 12,546.53 and 3,681.05

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Solution

The fourth proportional to 8,361.63, 12,546.53 and 3,681.05 is: 5,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.63 : 12,546.53 = 3,681.05 : x
  2. Step 2: Convert to fraction form
    8,361.63/12,546.53 = 3,681.05/x
  3. Step 3: Cross multiply
    8,361.63x = 12,546.53 × 3,681.05
  4. Step 4: Simplify right side
    8,361.63x = 46,184,336.92
  5. Step 5: Solve for x
    x = 46,184,336.92/8,361.63
  6. Step 6: Final answer
    x = 5,523.37

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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.