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Finding the Fourth Proportional to 6,321.96, 9,466.77 and 6,134.88

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Solution

The fourth proportional to 6,321.96, 9,466.77 and 6,134.88 is: 9,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.96 : 9,466.77 = 6,134.88 : x
  2. Step 2: Convert to fraction form
    6,321.96/9,466.77 = 6,134.88/x
  3. Step 3: Cross multiply
    6,321.96x = 9,466.77 × 6,134.88
  4. Step 4: Simplify right side
    6,321.96x = 58,077,542.31
  5. Step 5: Solve for x
    x = 58,077,542.31/6,321.96
  6. Step 6: Final answer
    x = 9,186.64

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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.