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Finding the Fourth Proportional to 6,393.88, 9,575.34 and 5,290.12

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Solution

The fourth proportional to 6,393.88, 9,575.34 and 5,290.12 is: 7,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.88 : 9,575.34 = 5,290.12 : x
  2. Step 2: Convert to fraction form
    6,393.88/9,575.34 = 5,290.12/x
  3. Step 3: Cross multiply
    6,393.88x = 9,575.34 × 5,290.12
  4. Step 4: Simplify right side
    6,393.88x = 50,654,697.64
  5. Step 5: Solve for x
    x = 50,654,697.64/6,393.88
  6. Step 6: Final answer
    x = 7,922.37

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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.