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Finding the Fourth Proportional to 4,665.74, 6,388.23 and 4,649.33

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Solution

The fourth proportional to 4,665.74, 6,388.23 and 4,649.33 is: 6,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.74 : 6,388.23 = 4,649.33 : x
  2. Step 2: Convert to fraction form
    4,665.74/6,388.23 = 4,649.33/x
  3. Step 3: Cross multiply
    4,665.74x = 6,388.23 × 4,649.33
  4. Step 4: Simplify right side
    4,665.74x = 29,701,022.79
  5. Step 5: Solve for x
    x = 29,701,022.79/4,665.74
  6. Step 6: Final answer
    x = 6,365.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.