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Finding the Fourth Proportional to 4,769.78, 6,578.97 and 4,609.22

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Solution

The fourth proportional to 4,769.78, 6,578.97 and 4,609.22 is: 6,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.78 : 6,578.97 = 4,609.22 : x
  2. Step 2: Convert to fraction form
    4,769.78/6,578.97 = 4,609.22/x
  3. Step 3: Cross multiply
    4,769.78x = 6,578.97 × 4,609.22
  4. Step 4: Simplify right side
    4,769.78x = 30,323,920.10
  5. Step 5: Solve for x
    x = 30,323,920.10/4,769.78
  6. Step 6: Final answer
    x = 6,357.51

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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.