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Finding the Fourth Proportional to 6,533.19, 9,798.68 and 2,150.67

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Solution

The fourth proportional to 6,533.19, 9,798.68 and 2,150.67 is: 3,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.19 : 9,798.68 = 2,150.67 : x
  2. Step 2: Convert to fraction form
    6,533.19/9,798.68 = 2,150.67/x
  3. Step 3: Cross multiply
    6,533.19x = 9,798.68 × 2,150.67
  4. Step 4: Simplify right side
    6,533.19x = 21,073,716.36
  5. Step 5: Solve for x
    x = 21,073,716.36/6,533.19
  6. Step 6: Final answer
    x = 3,225.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.