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Finding the Fourth Proportional to 6,493.92, 9,746.64 and 3,033.12

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Solution

The fourth proportional to 6,493.92, 9,746.64 and 3,033.12 is: 4,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.92 : 9,746.64 = 3,033.12 : x
  2. Step 2: Convert to fraction form
    6,493.92/9,746.64 = 3,033.12/x
  3. Step 3: Cross multiply
    6,493.92x = 9,746.64 × 3,033.12
  4. Step 4: Simplify right side
    6,493.92x = 29,562,728.72
  5. Step 5: Solve for x
    x = 29,562,728.72/6,493.92
  6. Step 6: Final answer
    x = 4,552.37

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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.