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Finding the Fourth Proportional to 6,149.52, 9,216.49 and 3,927.50

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Solution

The fourth proportional to 6,149.52, 9,216.49 and 3,927.50 is: 5,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.52 : 9,216.49 = 3,927.50 : x
  2. Step 2: Convert to fraction form
    6,149.52/9,216.49 = 3,927.50/x
  3. Step 3: Cross multiply
    6,149.52x = 9,216.49 × 3,927.50
  4. Step 4: Simplify right side
    6,149.52x = 36,197,735.62
  5. Step 5: Solve for x
    x = 36,197,735.62/6,149.52
  6. Step 6: Final answer
    x = 5,886.27

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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.