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Finding the Fourth Proportional to 10,649.85, 15,976.31 and 3,253.36

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Solution

The fourth proportional to 10,649.85, 15,976.31 and 3,253.36 is: 4,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.85 : 15,976.31 = 3,253.36 : x
  2. Step 2: Convert to fraction form
    10,649.85/15,976.31 = 3,253.36/x
  3. Step 3: Cross multiply
    10,649.85x = 15,976.31 × 3,253.36
  4. Step 4: Simplify right side
    10,649.85x = 51,976,608.02
  5. Step 5: Solve for x
    x = 51,976,608.02/10,649.85
  6. Step 6: Final answer
    x = 4,880.50

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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.