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Finding the Fourth Proportional to 6,872.50, 10,308.75 and 1,678.38

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Solution

The fourth proportional to 6,872.50, 10,308.75 and 1,678.38 is: 2,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.50 : 10,308.75 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    6,872.50/10,308.75 = 1,678.38/x
  3. Step 3: Cross multiply
    6,872.50x = 10,308.75 × 1,678.38
  4. Step 4: Simplify right side
    6,872.50x = 17,301,999.83
  5. Step 5: Solve for x
    x = 17,301,999.83/6,872.50
  6. Step 6: Final answer
    x = 2,517.57

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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.