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Finding the Fourth Proportional to 6,524.28, 9,788.22 and 2,576.52

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Solution

The fourth proportional to 6,524.28, 9,788.22 and 2,576.52 is: 3,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.28 : 9,788.22 = 2,576.52 : x
  2. Step 2: Convert to fraction form
    6,524.28/9,788.22 = 2,576.52/x
  3. Step 3: Cross multiply
    6,524.28x = 9,788.22 × 2,576.52
  4. Step 4: Simplify right side
    6,524.28x = 25,219,544.59
  5. Step 5: Solve for x
    x = 25,219,544.59/6,524.28
  6. Step 6: Final answer
    x = 3,865.49

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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.