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Finding the Fourth Proportional to 9,296.20, 13,922.70 and 9,080.20

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Solution

The fourth proportional to 9,296.20, 13,922.70 and 9,080.20 is: 13,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.20 : 13,922.70 = 9,080.20 : x
  2. Step 2: Convert to fraction form
    9,296.20/13,922.70 = 9,080.20/x
  3. Step 3: Cross multiply
    9,296.20x = 13,922.70 × 9,080.20
  4. Step 4: Simplify right side
    9,296.20x = 126,420,900.54
  5. Step 5: Solve for x
    x = 126,420,900.54/9,296.20
  6. Step 6: Final answer
    x = 13,599.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.