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Finding the Fourth Proportional to 9,941.44, 13,713.44 and 6,165.20

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Solution

The fourth proportional to 9,941.44, 13,713.44 and 6,165.20 is: 8,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.44 : 13,713.44 = 6,165.20 : x
  2. Step 2: Convert to fraction form
    9,941.44/13,713.44 = 6,165.20/x
  3. Step 3: Cross multiply
    9,941.44x = 13,713.44 × 6,165.20
  4. Step 4: Simplify right side
    9,941.44x = 84,546,100.29
  5. Step 5: Solve for x
    x = 84,546,100.29/9,941.44
  6. Step 6: Final answer
    x = 8,504.41

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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.