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Finding the Fourth Proportional to 6,265, 9,398.94 and 2,161

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Solution

The fourth proportional to 6,265, 9,398.94 and 2,161 is: 3,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265 : 9,398.94 = 2,161 : x
  2. Step 2: Convert to fraction form
    6,265/9,398.94 = 2,161/x
  3. Step 3: Cross multiply
    6,265x = 9,398.94 × 2,161
  4. Step 4: Simplify right side
    6,265x = 20,311,109.34
  5. Step 5: Solve for x
    x = 20,311,109.34/6,265
  6. Step 6: Final answer
    x = 3,242.00

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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.