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Finding the Fourth Proportional to 6,787, 10,180.50 and 2,683

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Solution

The fourth proportional to 6,787, 10,180.50 and 2,683 is: 4,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787 : 10,180.50 = 2,683 : x
  2. Step 2: Convert to fraction form
    6,787/10,180.50 = 2,683/x
  3. Step 3: Cross multiply
    6,787x = 10,180.50 × 2,683
  4. Step 4: Simplify right side
    6,787x = 27,314,281.50
  5. Step 5: Solve for x
    x = 27,314,281.50/6,787
  6. Step 6: Final answer
    x = 4,024.50

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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.