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Finding the Fourth Proportional to 6,363.76, 9,541.92 and 2,415.28

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Solution

The fourth proportional to 6,363.76, 9,541.92 and 2,415.28 is: 3,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.76 : 9,541.92 = 2,415.28 : x
  2. Step 2: Convert to fraction form
    6,363.76/9,541.92 = 2,415.28/x
  3. Step 3: Cross multiply
    6,363.76x = 9,541.92 × 2,415.28
  4. Step 4: Simplify right side
    6,363.76x = 23,046,408.54
  5. Step 5: Solve for x
    x = 23,046,408.54/6,363.76
  6. Step 6: Final answer
    x = 3,621.51

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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.