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Finding the Fourth Proportional to 6,678.75, 10,019.75 and 2,061.75

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Solution

The fourth proportional to 6,678.75, 10,019.75 and 2,061.75 is: 3,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.75 : 10,019.75 = 2,061.75 : x
  2. Step 2: Convert to fraction form
    6,678.75/10,019.75 = 2,061.75/x
  3. Step 3: Cross multiply
    6,678.75x = 10,019.75 × 2,061.75
  4. Step 4: Simplify right side
    6,678.75x = 20,658,209.25
  5. Step 5: Solve for x
    x = 20,658,209.25/6,678.75
  6. Step 6: Final answer
    x = 3,093.13

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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.