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Finding the Fourth Proportional to 9,811.50, 13,551 and 6,662.22

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Solution

The fourth proportional to 9,811.50, 13,551 and 6,662.22 is: 9,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.50 : 13,551 = 6,662.22 : x
  2. Step 2: Convert to fraction form
    9,811.50/13,551 = 6,662.22/x
  3. Step 3: Cross multiply
    9,811.50x = 13,551 × 6,662.22
  4. Step 4: Simplify right side
    9,811.50x = 90,279,743.22
  5. Step 5: Solve for x
    x = 90,279,743.22/9,811.50
  6. Step 6: Final answer
    x = 9,201.42

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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.