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Finding the Fourth Proportional to 6,298, 9,451.32 and 2,194

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Solution

The fourth proportional to 6,298, 9,451.32 and 2,194 is: 3,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 9,451.32 = 2,194 : x
  2. Step 2: Convert to fraction form
    6,298/9,451.32 = 2,194/x
  3. Step 3: Cross multiply
    6,298x = 9,451.32 × 2,194
  4. Step 4: Simplify right side
    6,298x = 20,736,196.08
  5. Step 5: Solve for x
    x = 20,736,196.08/6,298
  6. Step 6: Final answer
    x = 3,292.50

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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.