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Finding the Fourth Proportional to 4,550.94, 6,830.52 and 3,815.22

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Solution

The fourth proportional to 4,550.94, 6,830.52 and 3,815.22 is: 5,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.94 : 6,830.52 = 3,815.22 : x
  2. Step 2: Convert to fraction form
    4,550.94/6,830.52 = 3,815.22/x
  3. Step 3: Cross multiply
    4,550.94x = 6,830.52 × 3,815.22
  4. Step 4: Simplify right side
    4,550.94x = 26,059,936.51
  5. Step 5: Solve for x
    x = 26,059,936.51/4,550.94
  6. Step 6: Final answer
    x = 5,726.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.