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Finding the Fourth Proportional to 18,576, 27,868.32 and 6,264

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Solution

The fourth proportional to 18,576, 27,868.32 and 6,264 is: 9,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 27,868.32 = 6,264 : x
  2. Step 2: Convert to fraction form
    18,576/27,868.32 = 6,264/x
  3. Step 3: Cross multiply
    18,576x = 27,868.32 × 6,264
  4. Step 4: Simplify right side
    18,576x = 174,567,156.48
  5. Step 5: Solve for x
    x = 174,567,156.48/18,576
  6. Step 6: Final answer
    x = 9,397.46

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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.