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Finding the Fourth Proportional to 8,449.67, 11,664.29 and 5,427.97

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Solution

The fourth proportional to 8,449.67, 11,664.29 and 5,427.97 is: 7,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.67 : 11,664.29 = 5,427.97 : x
  2. Step 2: Convert to fraction form
    8,449.67/11,664.29 = 5,427.97/x
  3. Step 3: Cross multiply
    8,449.67x = 11,664.29 × 5,427.97
  4. Step 4: Simplify right side
    8,449.67x = 63,313,400.60
  5. Step 5: Solve for x
    x = 63,313,400.60/8,449.67
  6. Step 6: Final answer
    x = 7,493.00

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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.