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Finding the Fourth Proportional to 6,532.94, 9,798.39 and 2,150.03

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Solution

The fourth proportional to 6,532.94, 9,798.39 and 2,150.03 is: 3,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.94 : 9,798.39 = 2,150.03 : x
  2. Step 2: Convert to fraction form
    6,532.94/9,798.39 = 2,150.03/x
  3. Step 3: Cross multiply
    6,532.94x = 9,798.39 × 2,150.03
  4. Step 4: Simplify right side
    6,532.94x = 21,066,783.46
  5. Step 5: Solve for x
    x = 21,066,783.46/6,532.94
  6. Step 6: Final answer
    x = 3,224.70

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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.