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Finding the Fourth Proportional to 18,576.68, 27,846.26 and 9,223.46

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Solution

The fourth proportional to 18,576.68, 27,846.26 and 9,223.46 is: 13,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.68 : 27,846.26 = 9,223.46 : x
  2. Step 2: Convert to fraction form
    18,576.68/27,846.26 = 9,223.46/x
  3. Step 3: Cross multiply
    18,576.68x = 27,846.26 × 9,223.46
  4. Step 4: Simplify right side
    18,576.68x = 256,838,865.26
  5. Step 5: Solve for x
    x = 256,838,865.26/18,576.68
  6. Step 6: Final answer
    x = 13,825.88

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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.