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Finding the Fourth Proportional to 18,057.40, 27,107.70 and 10,166.20

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Solution

The fourth proportional to 18,057.40, 27,107.70 and 10,166.20 is: 15,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057.40 : 27,107.70 = 10,166.20 : x
  2. Step 2: Convert to fraction form
    18,057.40/27,107.70 = 10,166.20/x
  3. Step 3: Cross multiply
    18,057.40x = 27,107.70 × 10,166.20
  4. Step 4: Simplify right side
    18,057.40x = 275,582,299.74
  5. Step 5: Solve for x
    x = 275,582,299.74/18,057.40
  6. Step 6: Final answer
    x = 15,261.46

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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.