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Finding the Fourth Proportional to 6,431.14, 9,633.14 and 3,301.64

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Solution

The fourth proportional to 6,431.14, 9,633.14 and 3,301.64 is: 4,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.14 : 9,633.14 = 3,301.64 : x
  2. Step 2: Convert to fraction form
    6,431.14/9,633.14 = 3,301.64/x
  3. Step 3: Cross multiply
    6,431.14x = 9,633.14 × 3,301.64
  4. Step 4: Simplify right side
    6,431.14x = 31,805,160.35
  5. Step 5: Solve for x
    x = 31,805,160.35/6,431.14
  6. Step 6: Final answer
    x = 4,945.49

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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.