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Finding the Fourth Proportional to 8,364.67, 11,555.26 and 6,683.82

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Solution

The fourth proportional to 8,364.67, 11,555.26 and 6,683.82 is: 9,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.67 : 11,555.26 = 6,683.82 : x
  2. Step 2: Convert to fraction form
    8,364.67/11,555.26 = 6,683.82/x
  3. Step 3: Cross multiply
    8,364.67x = 11,555.26 × 6,683.82
  4. Step 4: Simplify right side
    8,364.67x = 77,233,217.85
  5. Step 5: Solve for x
    x = 77,233,217.85/8,364.67
  6. Step 6: Final answer
    x = 9,233.27

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1.5x scale

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.