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Finding the Fourth Proportional to 6,533.60, 9,798.32 and 2,150.03

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Solution

The fourth proportional to 6,533.60, 9,798.32 and 2,150.03 is: 3,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.60 : 9,798.32 = 2,150.03 : x
  2. Step 2: Convert to fraction form
    6,533.60/9,798.32 = 2,150.03/x
  3. Step 3: Cross multiply
    6,533.60x = 9,798.32 × 2,150.03
  4. Step 4: Simplify right side
    6,533.60x = 21,066,711.82
  5. Step 5: Solve for x
    x = 21,066,711.82/6,533.60
  6. Step 6: Final answer
    x = 3,224.37

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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.