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Finding the Fourth Proportional to 6,317.44, 9,477.44 and 2,157.12

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Solution

The fourth proportional to 6,317.44, 9,477.44 and 2,157.12 is: 3,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.44 : 9,477.44 = 2,157.12 : x
  2. Step 2: Convert to fraction form
    6,317.44/9,477.44 = 2,157.12/x
  3. Step 3: Cross multiply
    6,317.44x = 9,477.44 × 2,157.12
  4. Step 4: Simplify right side
    6,317.44x = 20,443,975.37
  5. Step 5: Solve for x
    x = 20,443,975.37/6,317.44
  6. Step 6: Final answer
    x = 3,236.12

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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.