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Finding the Fourth Proportional to 6,795.69, 10,194.47 and 2,412.10

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Solution

The fourth proportional to 6,795.69, 10,194.47 and 2,412.10 is: 3,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.69 : 10,194.47 = 2,412.10 : x
  2. Step 2: Convert to fraction form
    6,795.69/10,194.47 = 2,412.10/x
  3. Step 3: Cross multiply
    6,795.69x = 10,194.47 × 2,412.10
  4. Step 4: Simplify right side
    6,795.69x = 24,590,081.09
  5. Step 5: Solve for x
    x = 24,590,081.09/6,795.69
  6. Step 6: Final answer
    x = 3,618.48

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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.