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Finding the Fourth Proportional to 10,179.94, 15,274.50 and 6,481.21

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Solution

The fourth proportional to 10,179.94, 15,274.50 and 6,481.21 is: 9,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.94 : 15,274.50 = 6,481.21 : x
  2. Step 2: Convert to fraction form
    10,179.94/15,274.50 = 6,481.21/x
  3. Step 3: Cross multiply
    10,179.94x = 15,274.50 × 6,481.21
  4. Step 4: Simplify right side
    10,179.94x = 98,997,242.15
  5. Step 5: Solve for x
    x = 98,997,242.15/10,179.94
  6. Step 6: Final answer
    x = 9,724.74

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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.