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Finding the Fourth Proportional to 18,533.76, 27,797.32 and 9,170.76

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Solution

The fourth proportional to 18,533.76, 27,797.32 and 9,170.76 is: 13,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.76 : 27,797.32 = 9,170.76 : x
  2. Step 2: Convert to fraction form
    18,533.76/27,797.32 = 9,170.76/x
  3. Step 3: Cross multiply
    18,533.76x = 27,797.32 × 9,170.76
  4. Step 4: Simplify right side
    18,533.76x = 254,922,550.36
  5. Step 5: Solve for x
    x = 254,922,550.36/18,533.76
  6. Step 6: Final answer
    x = 13,754.50

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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.