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Finding the Fourth Proportional to 6,808, 10,212 and 1,877.68

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Solution

The fourth proportional to 6,808, 10,212 and 1,877.68 is: 2,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 10,212 = 1,877.68 : x
  2. Step 2: Convert to fraction form
    6,808/10,212 = 1,877.68/x
  3. Step 3: Cross multiply
    6,808x = 10,212 × 1,877.68
  4. Step 4: Simplify right side
    6,808x = 19,174,868.16
  5. Step 5: Solve for x
    x = 19,174,868.16/6,808
  6. Step 6: Final answer
    x = 2,816.52

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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.