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Finding the Fourth Proportional to 6,286.12, 9,383.09 and 5,548.12

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Solution

The fourth proportional to 6,286.12, 9,383.09 and 5,548.12 is: 8,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.12 : 9,383.09 = 5,548.12 : x
  2. Step 2: Convert to fraction form
    6,286.12/9,383.09 = 5,548.12/x
  3. Step 3: Cross multiply
    6,286.12x = 9,383.09 × 5,548.12
  4. Step 4: Simplify right side
    6,286.12x = 52,058,509.29
  5. Step 5: Solve for x
    x = 52,058,509.29/6,286.12
  6. Step 6: Final answer
    x = 8,281.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.