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Finding the Fourth Proportional to 6,533.46, 9,798.12 and 2,149.90

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Solution

The fourth proportional to 6,533.46, 9,798.12 and 2,149.90 is: 3,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.46 : 9,798.12 = 2,149.90 : x
  2. Step 2: Convert to fraction form
    6,533.46/9,798.12 = 2,149.90/x
  3. Step 3: Cross multiply
    6,533.46x = 9,798.12 × 2,149.90
  4. Step 4: Simplify right side
    6,533.46x = 21,064,978.19
  5. Step 5: Solve for x
    x = 21,064,978.19/6,533.46
  6. Step 6: Final answer
    x = 3,224.17

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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.