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Finding the Fourth Proportional to 6,335.28, 9,502.02 and 2,175.22

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Solution

The fourth proportional to 6,335.28, 9,502.02 and 2,175.22 is: 3,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.28 : 9,502.02 = 2,175.22 : x
  2. Step 2: Convert to fraction form
    6,335.28/9,502.02 = 2,175.22/x
  3. Step 3: Cross multiply
    6,335.28x = 9,502.02 × 2,175.22
  4. Step 4: Simplify right side
    6,335.28x = 20,668,983.94
  5. Step 5: Solve for x
    x = 20,668,983.94/6,335.28
  6. Step 6: Final answer
    x = 3,262.52

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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.