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Finding the Fourth Proportional to 8,323.16, 11,486.22 and 4,786.70

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Solution

The fourth proportional to 8,323.16, 11,486.22 and 4,786.70 is: 6,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.16 : 11,486.22 = 4,786.70 : x
  2. Step 2: Convert to fraction form
    8,323.16/11,486.22 = 4,786.70/x
  3. Step 3: Cross multiply
    8,323.16x = 11,486.22 × 4,786.70
  4. Step 4: Simplify right side
    8,323.16x = 54,981,089.27
  5. Step 5: Solve for x
    x = 54,981,089.27/8,323.16
  6. Step 6: Final answer
    x = 6,605.80

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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.