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Finding the Fourth Proportional to 10,273.03, 15,409.64 and 3,694.61

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Solution

The fourth proportional to 10,273.03, 15,409.64 and 3,694.61 is: 5,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.03 : 15,409.64 = 3,694.61 : x
  2. Step 2: Convert to fraction form
    10,273.03/15,409.64 = 3,694.61/x
  3. Step 3: Cross multiply
    10,273.03x = 15,409.64 × 3,694.61
  4. Step 4: Simplify right side
    10,273.03x = 56,932,657.80
  5. Step 5: Solve for x
    x = 56,932,657.80/10,273.03
  6. Step 6: Final answer
    x = 5,541.96

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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.