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Finding the Fourth Proportional to 16,174.63, 24,261.73 and 5,644.63

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Solution

The fourth proportional to 16,174.63, 24,261.73 and 5,644.63 is: 8,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.63 : 24,261.73 = 5,644.63 : x
  2. Step 2: Convert to fraction form
    16,174.63/24,261.73 = 5,644.63/x
  3. Step 3: Cross multiply
    16,174.63x = 24,261.73 × 5,644.63
  4. Step 4: Simplify right side
    16,174.63x = 136,948,489.01
  5. Step 5: Solve for x
    x = 136,948,489.01/16,174.63
  6. Step 6: Final answer
    x = 8,466.87

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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.