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Finding the Fourth Proportional to 6,509.44, 8,983.20 and 3,857.44

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Solution

The fourth proportional to 6,509.44, 8,983.20 and 3,857.44 is: 5,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.44 : 8,983.20 = 3,857.44 : x
  2. Step 2: Convert to fraction form
    6,509.44/8,983.20 = 3,857.44/x
  3. Step 3: Cross multiply
    6,509.44x = 8,983.20 × 3,857.44
  4. Step 4: Simplify right side
    6,509.44x = 34,652,155.01
  5. Step 5: Solve for x
    x = 34,652,155.01/6,509.44
  6. Step 6: Final answer
    x = 5,323.37

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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.