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Finding the Fourth Proportional to 7,091.37, 9,782.24 and 4,438.22

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Solution

The fourth proportional to 7,091.37, 9,782.24 and 4,438.22 is: 6,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.37 : 9,782.24 = 4,438.22 : x
  2. Step 2: Convert to fraction form
    7,091.37/9,782.24 = 4,438.22/x
  3. Step 3: Cross multiply
    7,091.37x = 9,782.24 × 4,438.22
  4. Step 4: Simplify right side
    7,091.37x = 43,415,662.11
  5. Step 5: Solve for x
    x = 43,415,662.11/7,091.37
  6. Step 6: Final answer
    x = 6,122.32

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Similar ratio
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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.