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Finding the Fourth Proportional to 6,383.04, 9,563.04 and 3,295.68

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Solution

The fourth proportional to 6,383.04, 9,563.04 and 3,295.68 is: 4,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.04 : 9,563.04 = 3,295.68 : x
  2. Step 2: Convert to fraction form
    6,383.04/9,563.04 = 3,295.68/x
  3. Step 3: Cross multiply
    6,383.04x = 9,563.04 × 3,295.68
  4. Step 4: Simplify right side
    6,383.04x = 31,516,719.67
  5. Step 5: Solve for x
    x = 31,516,719.67/6,383.04
  6. Step 6: Final answer
    x = 4,937.57

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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.