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Finding the Fourth Proportional to 9,537.03, 13,163.01 and 8,602.09

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Solution

The fourth proportional to 9,537.03, 13,163.01 and 8,602.09 is: 11,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.03 : 13,163.01 = 8,602.09 : x
  2. Step 2: Convert to fraction form
    9,537.03/13,163.01 = 8,602.09/x
  3. Step 3: Cross multiply
    9,537.03x = 13,163.01 × 8,602.09
  4. Step 4: Simplify right side
    9,537.03x = 113,229,313.02
  5. Step 5: Solve for x
    x = 113,229,313.02/9,537.03
  6. Step 6: Final answer
    x = 11,872.60

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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.