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Finding the Fourth Proportional to 6,809.40, 10,208.43 and 2,648.43

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Solution

The fourth proportional to 6,809.40, 10,208.43 and 2,648.43 is: 3,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.40 : 10,208.43 = 2,648.43 : x
  2. Step 2: Convert to fraction form
    6,809.40/10,208.43 = 2,648.43/x
  3. Step 3: Cross multiply
    6,809.40x = 10,208.43 × 2,648.43
  4. Step 4: Simplify right side
    6,809.40x = 27,036,312.26
  5. Step 5: Solve for x
    x = 27,036,312.26/6,809.40
  6. Step 6: Final answer
    x = 3,970.44

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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.