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Finding the Fourth Proportional to 6,762.78, 10,146.15 and 2,083.50

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Solution

The fourth proportional to 6,762.78, 10,146.15 and 2,083.50 is: 3,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.78 : 10,146.15 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    6,762.78/10,146.15 = 2,083.50/x
  3. Step 3: Cross multiply
    6,762.78x = 10,146.15 × 2,083.50
  4. Step 4: Simplify right side
    6,762.78x = 21,139,503.53
  5. Step 5: Solve for x
    x = 21,139,503.53/6,762.78
  6. Step 6: Final answer
    x = 3,125.86

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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.