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Finding the Fourth Proportional to 10,020.61, 13,825.96 and 6,479.56

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Solution

The fourth proportional to 10,020.61, 13,825.96 and 6,479.56 is: 8,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.61 : 13,825.96 = 6,479.56 : x
  2. Step 2: Convert to fraction form
    10,020.61/13,825.96 = 6,479.56/x
  3. Step 3: Cross multiply
    10,020.61x = 13,825.96 × 6,479.56
  4. Step 4: Simplify right side
    10,020.61x = 89,586,137.38
  5. Step 5: Solve for x
    x = 89,586,137.38/10,020.61
  6. Step 6: Final answer
    x = 8,940.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.