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Finding the Fourth Proportional to 6,514.56, 9,759.60 and 3,223.80

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Solution

The fourth proportional to 6,514.56, 9,759.60 and 3,223.80 is: 4,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.56 : 9,759.60 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    6,514.56/9,759.60 = 3,223.80/x
  3. Step 3: Cross multiply
    6,514.56x = 9,759.60 × 3,223.80
  4. Step 4: Simplify right side
    6,514.56x = 31,462,998.48
  5. Step 5: Solve for x
    x = 31,462,998.48/6,514.56
  6. Step 6: Final answer
    x = 4,829.64

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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.