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Finding the Fourth Proportional to 7,843.25, 10,821.05 and 4,483.68

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Solution

The fourth proportional to 7,843.25, 10,821.05 and 4,483.68 is: 6,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.25 : 10,821.05 = 4,483.68 : x
  2. Step 2: Convert to fraction form
    7,843.25/10,821.05 = 4,483.68/x
  3. Step 3: Cross multiply
    7,843.25x = 10,821.05 × 4,483.68
  4. Step 4: Simplify right side
    7,843.25x = 48,518,103.05
  5. Step 5: Solve for x
    x = 48,518,103.05/7,843.25
  6. Step 6: Final answer
    x = 6,185.97

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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.