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Finding the Fourth Proportional to 6,330, 8,735.25 and 3,497.40

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Solution

The fourth proportional to 6,330, 8,735.25 and 3,497.40 is: 4,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330 : 8,735.25 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    6,330/8,735.25 = 3,497.40/x
  3. Step 3: Cross multiply
    6,330x = 8,735.25 × 3,497.40
  4. Step 4: Simplify right side
    6,330x = 30,550,663.35
  5. Step 5: Solve for x
    x = 30,550,663.35/6,330
  6. Step 6: Final answer
    x = 4,826.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.