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Finding the Fourth Proportional to 11,295.96, 16,934.70 and 4,271.97

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Solution

The fourth proportional to 11,295.96, 16,934.70 and 4,271.97 is: 6,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.96 : 16,934.70 = 4,271.97 : x
  2. Step 2: Convert to fraction form
    11,295.96/16,934.70 = 4,271.97/x
  3. Step 3: Cross multiply
    11,295.96x = 16,934.70 × 4,271.97
  4. Step 4: Simplify right side
    11,295.96x = 72,344,530.36
  5. Step 5: Solve for x
    x = 72,344,530.36/11,295.96
  6. Step 6: Final answer
    x = 6,404.46

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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.