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Finding the Fourth Proportional to 6,407.44, 9,622.16 and 3,491.44

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Solution

The fourth proportional to 6,407.44, 9,622.16 and 3,491.44 is: 5,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.44 : 9,622.16 = 3,491.44 : x
  2. Step 2: Convert to fraction form
    6,407.44/9,622.16 = 3,491.44/x
  3. Step 3: Cross multiply
    6,407.44x = 9,622.16 × 3,491.44
  4. Step 4: Simplify right side
    6,407.44x = 33,595,194.31
  5. Step 5: Solve for x
    x = 33,595,194.31/6,407.44
  6. Step 6: Final answer
    x = 5,243.15

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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.