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Finding the Fourth Proportional to 16,571.72, 24,857.22 and 9,641

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Solution

The fourth proportional to 16,571.72, 24,857.22 and 9,641 is: 14,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.72 : 24,857.22 = 9,641 : x
  2. Step 2: Convert to fraction form
    16,571.72/24,857.22 = 9,641/x
  3. Step 3: Cross multiply
    16,571.72x = 24,857.22 × 9,641
  4. Step 4: Simplify right side
    16,571.72x = 239,648,458.02
  5. Step 5: Solve for x
    x = 239,648,458.02/16,571.72
  6. Step 6: Final answer
    x = 14,461.29

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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.