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Finding the Fourth Proportional to 13,162.44, 18,164.13 and 7,194.15

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Solution

The fourth proportional to 13,162.44, 18,164.13 and 7,194.15 is: 9,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.44 : 18,164.13 = 7,194.15 : x
  2. Step 2: Convert to fraction form
    13,162.44/18,164.13 = 7,194.15/x
  3. Step 3: Cross multiply
    13,162.44x = 18,164.13 × 7,194.15
  4. Step 4: Simplify right side
    13,162.44x = 130,675,385.02
  5. Step 5: Solve for x
    x = 130,675,385.02/13,162.44
  6. Step 6: Final answer
    x = 9,927.90

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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.