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Finding the Fourth Proportional to 10,497.94, 15,747.60 and 3,478.43

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Solution

The fourth proportional to 10,497.94, 15,747.60 and 3,478.43 is: 5,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.94 : 15,747.60 = 3,478.43 : x
  2. Step 2: Convert to fraction form
    10,497.94/15,747.60 = 3,478.43/x
  3. Step 3: Cross multiply
    10,497.94x = 15,747.60 × 3,478.43
  4. Step 4: Simplify right side
    10,497.94x = 54,776,924.27
  5. Step 5: Solve for x
    x = 54,776,924.27/10,497.94
  6. Step 6: Final answer
    x = 5,217.87

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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.