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Finding the Fourth Proportional to 18,204.73, 27,317.71 and 7,674.10

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Solution

The fourth proportional to 18,204.73, 27,317.71 and 7,674.10 is: 11,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.73 : 27,317.71 = 7,674.10 : x
  2. Step 2: Convert to fraction form
    18,204.73/27,317.71 = 7,674.10/x
  3. Step 3: Cross multiply
    18,204.73x = 27,317.71 × 7,674.10
  4. Step 4: Simplify right side
    18,204.73x = 209,638,868.23
  5. Step 5: Solve for x
    x = 209,638,868.23/18,204.73
  6. Step 6: Final answer
    x = 11,515.63

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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.