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Finding the Fourth Proportional to 16,615.36, 22,928.16 and 9,163.36

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Solution

The fourth proportional to 16,615.36, 22,928.16 and 9,163.36 is: 12,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,615.36 : 22,928.16 = 9,163.36 : x
  2. Step 2: Convert to fraction form
    16,615.36/22,928.16 = 9,163.36/x
  3. Step 3: Cross multiply
    16,615.36x = 22,928.16 × 9,163.36
  4. Step 4: Simplify right side
    16,615.36x = 210,098,984.22
  5. Step 5: Solve for x
    x = 210,098,984.22/16,615.36
  6. Step 6: Final answer
    x = 12,644.87

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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.