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Finding the Fourth Proportional to 8,206, 11,324.52 and 4,480.24

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Solution

The fourth proportional to 8,206, 11,324.52 and 4,480.24 is: 6,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 11,324.52 = 4,480.24 : x
  2. Step 2: Convert to fraction form
    8,206/11,324.52 = 4,480.24/x
  3. Step 3: Cross multiply
    8,206x = 11,324.52 × 4,480.24
  4. Step 4: Simplify right side
    8,206x = 50,736,567.48
  5. Step 5: Solve for x
    x = 50,736,567.48/8,206
  6. Step 6: Final answer
    x = 6,182.86

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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.