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Finding the Fourth Proportional to 18,578.88, 27,862.56 and 6,264

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Solution

The fourth proportional to 18,578.88, 27,862.56 and 6,264 is: 9,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.88 : 27,862.56 = 6,264 : x
  2. Step 2: Convert to fraction form
    18,578.88/27,862.56 = 6,264/x
  3. Step 3: Cross multiply
    18,578.88x = 27,862.56 × 6,264
  4. Step 4: Simplify right side
    18,578.88x = 174,531,075.84
  5. Step 5: Solve for x
    x = 174,531,075.84/18,578.88
  6. Step 6: Final answer
    x = 9,394.06

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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.