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Finding the Fourth Proportional to 8,550.48, 11,786.76 and 6,684.24

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Solution

The fourth proportional to 8,550.48, 11,786.76 and 6,684.24 is: 9,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550.48 : 11,786.76 = 6,684.24 : x
  2. Step 2: Convert to fraction form
    8,550.48/11,786.76 = 6,684.24/x
  3. Step 3: Cross multiply
    8,550.48x = 11,786.76 × 6,684.24
  4. Step 4: Simplify right side
    8,550.48x = 78,785,532.66
  5. Step 5: Solve for x
    x = 78,785,532.66/8,550.48
  6. Step 6: Final answer
    x = 9,214.16

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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.