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Finding the Fourth Proportional to 6,509.32, 9,764.46 and 2,351.80

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Solution

The fourth proportional to 6,509.32, 9,764.46 and 2,351.80 is: 3,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.32 : 9,764.46 = 2,351.80 : x
  2. Step 2: Convert to fraction form
    6,509.32/9,764.46 = 2,351.80/x
  3. Step 3: Cross multiply
    6,509.32x = 9,764.46 × 2,351.80
  4. Step 4: Simplify right side
    6,509.32x = 22,964,057.03
  5. Step 5: Solve for x
    x = 22,964,057.03/6,509.32
  6. Step 6: Final answer
    x = 3,527.87

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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.