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Finding the Fourth Proportional to 8,243.40, 12,361.84 and 3,563.40

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Solution

The fourth proportional to 8,243.40, 12,361.84 and 3,563.40 is: 5,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.40 : 12,361.84 = 3,563.40 : x
  2. Step 2: Convert to fraction form
    8,243.40/12,361.84 = 3,563.40/x
  3. Step 3: Cross multiply
    8,243.40x = 12,361.84 × 3,563.40
  4. Step 4: Simplify right side
    8,243.40x = 44,050,180.66
  5. Step 5: Solve for x
    x = 44,050,180.66/8,243.40
  6. Step 6: Final answer
    x = 5,343.69

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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.