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Finding the Fourth Proportional to 6,750.50, 9,314.70 and 3,766.10

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Solution

The fourth proportional to 6,750.50, 9,314.70 and 3,766.10 is: 5,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.50 : 9,314.70 = 3,766.10 : x
  2. Step 2: Convert to fraction form
    6,750.50/9,314.70 = 3,766.10/x
  3. Step 3: Cross multiply
    6,750.50x = 9,314.70 × 3,766.10
  4. Step 4: Simplify right side
    6,750.50x = 35,080,091.67
  5. Step 5: Solve for x
    x = 35,080,091.67/6,750.50
  6. Step 6: Final answer
    x = 5,196.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.