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Finding the Fourth Proportional to 6,809.58, 10,212 and 2,426.40

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Solution

The fourth proportional to 6,809.58, 10,212 and 2,426.40 is: 3,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.58 : 10,212 = 2,426.40 : x
  2. Step 2: Convert to fraction form
    6,809.58/10,212 = 2,426.40/x
  3. Step 3: Cross multiply
    6,809.58x = 10,212 × 2,426.40
  4. Step 4: Simplify right side
    6,809.58x = 24,778,396.80
  5. Step 5: Solve for x
    x = 24,778,396.80/6,809.58
  6. Step 6: Final answer
    x = 3,638.76

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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.