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Finding the Fourth Proportional to 9,676.82, 13,353.22 and 5,427.30

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Solution

The fourth proportional to 9,676.82, 13,353.22 and 5,427.30 is: 7,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.82 : 13,353.22 = 5,427.30 : x
  2. Step 2: Convert to fraction form
    9,676.82/13,353.22 = 5,427.30/x
  3. Step 3: Cross multiply
    9,676.82x = 13,353.22 × 5,427.30
  4. Step 4: Simplify right side
    9,676.82x = 72,471,837.00
  5. Step 5: Solve for x
    x = 72,471,837.00/9,676.82
  6. Step 6: Final answer
    x = 7,489.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.