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Finding the Fourth Proportional to 6,146, 9,219 and 1,989.48

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Solution

The fourth proportional to 6,146, 9,219 and 1,989.48 is: 2,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 9,219 = 1,989.48 : x
  2. Step 2: Convert to fraction form
    6,146/9,219 = 1,989.48/x
  3. Step 3: Cross multiply
    6,146x = 9,219 × 1,989.48
  4. Step 4: Simplify right side
    6,146x = 18,341,016.12
  5. Step 5: Solve for x
    x = 18,341,016.12/6,146
  6. Step 6: Final answer
    x = 2,984.22

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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.