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Finding the Fourth Proportional to 16,439, 24,634.74 and 7,076.48

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Solution

The fourth proportional to 16,439, 24,634.74 and 7,076.48 is: 10,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439 : 24,634.74 = 7,076.48 : x
  2. Step 2: Convert to fraction form
    16,439/24,634.74 = 7,076.48/x
  3. Step 3: Cross multiply
    16,439x = 24,634.74 × 7,076.48
  4. Step 4: Simplify right side
    16,439x = 174,327,244.92
  5. Step 5: Solve for x
    x = 174,327,244.92/16,439
  6. Step 6: Final answer
    x = 10,604.49

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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.