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Finding the Fourth Proportional to 6,387.42, 9,575.46 and 2,494.56

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Solution

The fourth proportional to 6,387.42, 9,575.46 and 2,494.56 is: 3,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.42 : 9,575.46 = 2,494.56 : x
  2. Step 2: Convert to fraction form
    6,387.42/9,575.46 = 2,494.56/x
  3. Step 3: Cross multiply
    6,387.42x = 9,575.46 × 2,494.56
  4. Step 4: Simplify right side
    6,387.42x = 23,886,559.50
  5. Step 5: Solve for x
    x = 23,886,559.50/6,387.42
  6. Step 6: Final answer
    x = 3,739.63

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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.