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Finding the Fourth Proportional to 6,512.30, 9,765.46 and 3,001.46

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Solution

The fourth proportional to 6,512.30, 9,765.46 and 3,001.46 is: 4,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.30 : 9,765.46 = 3,001.46 : x
  2. Step 2: Convert to fraction form
    6,512.30/9,765.46 = 3,001.46/x
  3. Step 3: Cross multiply
    6,512.30x = 9,765.46 × 3,001.46
  4. Step 4: Simplify right side
    6,512.30x = 29,310,592.50
  5. Step 5: Solve for x
    x = 29,310,592.50/6,512.30
  6. Step 6: Final answer
    x = 4,500.81

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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.