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Finding the Fourth Proportional to 18,271, 27,390.06 and 6,576

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Solution

The fourth proportional to 18,271, 27,390.06 and 6,576 is: 9,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271 : 27,390.06 = 6,576 : x
  2. Step 2: Convert to fraction form
    18,271/27,390.06 = 6,576/x
  3. Step 3: Cross multiply
    18,271x = 27,390.06 × 6,576
  4. Step 4: Simplify right side
    18,271x = 180,117,034.56
  5. Step 5: Solve for x
    x = 180,117,034.56/18,271
  6. Step 6: Final answer
    x = 9,858.08

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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.