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Finding the Fourth Proportional to 6,414.54, 8,852.14 and 3,761.99

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Solution

The fourth proportional to 6,414.54, 8,852.14 and 3,761.99 is: 5,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.54 : 8,852.14 = 3,761.99 : x
  2. Step 2: Convert to fraction form
    6,414.54/8,852.14 = 3,761.99/x
  3. Step 3: Cross multiply
    6,414.54x = 8,852.14 × 3,761.99
  4. Step 4: Simplify right side
    6,414.54x = 33,301,684.43
  5. Step 5: Solve for x
    x = 33,301,684.43/6,414.54
  6. Step 6: Final answer
    x = 5,191.59

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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.