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Finding the Fourth Proportional to 6,457.50, 9,680.33 and 2,511.39

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Solution

The fourth proportional to 6,457.50, 9,680.33 and 2,511.39 is: 3,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.50 : 9,680.33 = 2,511.39 : x
  2. Step 2: Convert to fraction form
    6,457.50/9,680.33 = 2,511.39/x
  3. Step 3: Cross multiply
    6,457.50x = 9,680.33 × 2,511.39
  4. Step 4: Simplify right side
    6,457.50x = 24,311,071.40
  5. Step 5: Solve for x
    x = 24,311,071.40/6,457.50
  6. Step 6: Final answer
    x = 3,764.78

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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.