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Finding the Fourth Proportional to 6,563.76, 9,849.90 and 3,929.28

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Solution

The fourth proportional to 6,563.76, 9,849.90 and 3,929.28 is: 5,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.76 : 9,849.90 = 3,929.28 : x
  2. Step 2: Convert to fraction form
    6,563.76/9,849.90 = 3,929.28/x
  3. Step 3: Cross multiply
    6,563.76x = 9,849.90 × 3,929.28
  4. Step 4: Simplify right side
    6,563.76x = 38,703,015.07
  5. Step 5: Solve for x
    x = 38,703,015.07/6,563.76
  6. Step 6: Final answer
    x = 5,896.47

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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.