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Finding the Fourth Proportional to 18,342.99, 27,497.97 and 6,648

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Solution

The fourth proportional to 18,342.99, 27,497.97 and 6,648 is: 9,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.99 : 27,497.97 = 6,648 : x
  2. Step 2: Convert to fraction form
    18,342.99/27,497.97 = 6,648/x
  3. Step 3: Cross multiply
    18,342.99x = 27,497.97 × 6,648
  4. Step 4: Simplify right side
    18,342.99x = 182,806,504.56
  5. Step 5: Solve for x
    x = 182,806,504.56/18,342.99
  6. Step 6: Final answer
    x = 9,966.01

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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.