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Finding the Fourth Proportional to 16,571.26, 22,868.34 and 9,497.69

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Solution

The fourth proportional to 16,571.26, 22,868.34 and 9,497.69 is: 13,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.26 : 22,868.34 = 9,497.69 : x
  2. Step 2: Convert to fraction form
    16,571.26/22,868.34 = 9,497.69/x
  3. Step 3: Cross multiply
    16,571.26x = 22,868.34 × 9,497.69
  4. Step 4: Simplify right side
    16,571.26x = 217,196,289.79
  5. Step 5: Solve for x
    x = 217,196,289.79/16,571.26
  6. Step 6: Final answer
    x = 13,106.81

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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.