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Finding the Fourth Proportional to 10,849.44, 14,969.72 and 8,167.24

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Solution

The fourth proportional to 10,849.44, 14,969.72 and 8,167.24 is: 11,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.44 : 14,969.72 = 8,167.24 : x
  2. Step 2: Convert to fraction form
    10,849.44/14,969.72 = 8,167.24/x
  3. Step 3: Cross multiply
    10,849.44x = 14,969.72 × 8,167.24
  4. Step 4: Simplify right side
    10,849.44x = 122,261,295.97
  5. Step 5: Solve for x
    x = 122,261,295.97/10,849.44
  6. Step 6: Final answer
    x = 11,268.90

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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.