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Finding the Fourth Proportional to 6,508.28, 9,764.09 and 1,828.30

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Solution

The fourth proportional to 6,508.28, 9,764.09 and 1,828.30 is: 2,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.28 : 9,764.09 = 1,828.30 : x
  2. Step 2: Convert to fraction form
    6,508.28/9,764.09 = 1,828.30/x
  3. Step 3: Cross multiply
    6,508.28x = 9,764.09 × 1,828.30
  4. Step 4: Simplify right side
    6,508.28x = 17,851,685.75
  5. Step 5: Solve for x
    x = 17,851,685.75/6,508.28
  6. Step 6: Final answer
    x = 2,742.92

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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.