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Finding the Fourth Proportional to 7,181.86, 9,913.65 and 4,198.65

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Solution

The fourth proportional to 7,181.86, 9,913.65 and 4,198.65 is: 5,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.86 : 9,913.65 = 4,198.65 : x
  2. Step 2: Convert to fraction form
    7,181.86/9,913.65 = 4,198.65/x
  3. Step 3: Cross multiply
    7,181.86x = 9,913.65 × 4,198.65
  4. Step 4: Simplify right side
    7,181.86x = 41,623,946.57
  5. Step 5: Solve for x
    x = 41,623,946.57/7,181.86
  6. Step 6: Final answer
    x = 5,795.71

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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.