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Finding the Fourth Proportional to 6,532.56, 9,789.12 and 5,149.26

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Solution

The fourth proportional to 6,532.56, 9,789.12 and 5,149.26 is: 7,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.56 : 9,789.12 = 5,149.26 : x
  2. Step 2: Convert to fraction form
    6,532.56/9,789.12 = 5,149.26/x
  3. Step 3: Cross multiply
    6,532.56x = 9,789.12 × 5,149.26
  4. Step 4: Simplify right side
    6,532.56x = 50,406,724.05
  5. Step 5: Solve for x
    x = 50,406,724.05/6,532.56
  6. Step 6: Final answer
    x = 7,716.23

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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.