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Finding the Fourth Proportional to 7,809.44, 11,742.26 and 7,200.60

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Solution

The fourth proportional to 7,809.44, 11,742.26 and 7,200.60 is: 10,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.44 : 11,742.26 = 7,200.60 : x
  2. Step 2: Convert to fraction form
    7,809.44/11,742.26 = 7,200.60/x
  3. Step 3: Cross multiply
    7,809.44x = 11,742.26 × 7,200.60
  4. Step 4: Simplify right side
    7,809.44x = 84,551,317.36
  5. Step 5: Solve for x
    x = 84,551,317.36/7,809.44
  6. Step 6: Final answer
    x = 10,826.81

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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.