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Finding the Fourth Proportional to 6,431.12, 9,640.20 and 3,506.48

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Solution

The fourth proportional to 6,431.12, 9,640.20 and 3,506.48 is: 5,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.12 : 9,640.20 = 3,506.48 : x
  2. Step 2: Convert to fraction form
    6,431.12/9,640.20 = 3,506.48/x
  3. Step 3: Cross multiply
    6,431.12x = 9,640.20 × 3,506.48
  4. Step 4: Simplify right side
    6,431.12x = 33,803,168.50
  5. Step 5: Solve for x
    x = 33,803,168.50/6,431.12
  6. Step 6: Final answer
    x = 5,256.19

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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.