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Finding the Fourth Proportional to 6,481.66, 9,719.03 and 2,038.50

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Solution

The fourth proportional to 6,481.66, 9,719.03 and 2,038.50 is: 3,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.66 : 9,719.03 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    6,481.66/9,719.03 = 2,038.50/x
  3. Step 3: Cross multiply
    6,481.66x = 9,719.03 × 2,038.50
  4. Step 4: Simplify right side
    6,481.66x = 19,812,287.32
  5. Step 5: Solve for x
    x = 19,812,287.32/6,481.66
  6. Step 6: Final answer
    x = 3,056.67

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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.