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Finding the Fourth Proportional to 8,323.95, 11,486.77 and 4,786.48

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Solution

The fourth proportional to 8,323.95, 11,486.77 and 4,786.48 is: 6,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.95 : 11,486.77 = 4,786.48 : x
  2. Step 2: Convert to fraction form
    8,323.95/11,486.77 = 4,786.48/x
  3. Step 3: Cross multiply
    8,323.95x = 11,486.77 × 4,786.48
  4. Step 4: Simplify right side
    8,323.95x = 54,981,194.87
  5. Step 5: Solve for x
    x = 54,981,194.87/8,323.95
  6. Step 6: Final answer
    x = 6,605.18

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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.