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Finding the Fourth Proportional to 6,335.19, 9,502.79 and 2,824.29

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Solution

The fourth proportional to 6,335.19, 9,502.79 and 2,824.29 is: 4,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.19 : 9,502.79 = 2,824.29 : x
  2. Step 2: Convert to fraction form
    6,335.19/9,502.79 = 2,824.29/x
  3. Step 3: Cross multiply
    6,335.19x = 9,502.79 × 2,824.29
  4. Step 4: Simplify right side
    6,335.19x = 26,838,620.65
  5. Step 5: Solve for x
    x = 26,838,620.65/6,335.19
  6. Step 6: Final answer
    x = 4,236.44

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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.