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Finding the Fourth Proportional to 16,361.75, 22,576.50 and 9,646.47

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Solution

The fourth proportional to 16,361.75, 22,576.50 and 9,646.47 is: 13,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.75 : 22,576.50 = 9,646.47 : x
  2. Step 2: Convert to fraction form
    16,361.75/22,576.50 = 9,646.47/x
  3. Step 3: Cross multiply
    16,361.75x = 22,576.50 × 9,646.47
  4. Step 4: Simplify right side
    16,361.75x = 217,783,529.96
  5. Step 5: Solve for x
    x = 217,783,529.96/16,361.75
  6. Step 6: Final answer
    x = 13,310.53

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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.