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Finding the Fourth Proportional to 16,576, 22,874.88 and 9,124.48

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Solution

The fourth proportional to 16,576, 22,874.88 and 9,124.48 is: 12,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576 : 22,874.88 = 9,124.48 : x
  2. Step 2: Convert to fraction form
    16,576/22,874.88 = 9,124.48/x
  3. Step 3: Cross multiply
    16,576x = 22,874.88 × 9,124.48
  4. Step 4: Simplify right side
    16,576x = 208,721,385.06
  5. Step 5: Solve for x
    x = 208,721,385.06/16,576
  6. Step 6: Final answer
    x = 12,591.78

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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.