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Finding the Fourth Proportional to 6,502.44, 9,734.62 and 4,029.80

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Solution

The fourth proportional to 6,502.44, 9,734.62 and 4,029.80 is: 6,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.44 : 9,734.62 = 4,029.80 : x
  2. Step 2: Convert to fraction form
    6,502.44/9,734.62 = 4,029.80/x
  3. Step 3: Cross multiply
    6,502.44x = 9,734.62 × 4,029.80
  4. Step 4: Simplify right side
    6,502.44x = 39,228,571.68
  5. Step 5: Solve for x
    x = 39,228,571.68/6,502.44
  6. Step 6: Final answer
    x = 6,032.90

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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.