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Finding the Fourth Proportional to 8,394.56, 12,597.50 and 3,464.09

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Solution

The fourth proportional to 8,394.56, 12,597.50 and 3,464.09 is: 5,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.56 : 12,597.50 = 3,464.09 : x
  2. Step 2: Convert to fraction form
    8,394.56/12,597.50 = 3,464.09/x
  3. Step 3: Cross multiply
    8,394.56x = 12,597.50 × 3,464.09
  4. Step 4: Simplify right side
    8,394.56x = 43,638,793.47
  5. Step 5: Solve for x
    x = 43,638,793.47/8,394.56
  6. Step 6: Final answer
    x = 5,198.46

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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.