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Finding the Fourth Proportional to 11,794.40, 17,683.39 and 5,217

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Solution

The fourth proportional to 11,794.40, 17,683.39 and 5,217 is: 7,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.40 : 17,683.39 = 5,217 : x
  2. Step 2: Convert to fraction form
    11,794.40/17,683.39 = 5,217/x
  3. Step 3: Cross multiply
    11,794.40x = 17,683.39 × 5,217
  4. Step 4: Simplify right side
    11,794.40x = 92,254,245.63
  5. Step 5: Solve for x
    x = 92,254,245.63/11,794.40
  6. Step 6: Final answer
    x = 7,821.87

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1.5x scale

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.