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Finding the Fourth Proportional to 18,657.54, 27,975.78 and 6,966

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Solution

The fourth proportional to 18,657.54, 27,975.78 and 6,966 is: 10,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.54 : 27,975.78 = 6,966 : x
  2. Step 2: Convert to fraction form
    18,657.54/27,975.78 = 6,966/x
  3. Step 3: Cross multiply
    18,657.54x = 27,975.78 × 6,966
  4. Step 4: Simplify right side
    18,657.54x = 194,879,283.48
  5. Step 5: Solve for x
    x = 194,879,283.48/18,657.54
  6. Step 6: Final answer
    x = 10,445.07

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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.