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Finding the Fourth Proportional to 7,778.82, 11,668.20 and 1,935.43

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Solution

The fourth proportional to 7,778.82, 11,668.20 and 1,935.43 is: 2,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.82 : 11,668.20 = 1,935.43 : x
  2. Step 2: Convert to fraction form
    7,778.82/11,668.20 = 1,935.43/x
  3. Step 3: Cross multiply
    7,778.82x = 11,668.20 × 1,935.43
  4. Step 4: Simplify right side
    7,778.82x = 22,582,984.33
  5. Step 5: Solve for x
    x = 22,582,984.33/7,778.82
  6. Step 6: Final answer
    x = 2,903.14

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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.