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Finding the Fourth Proportional to 13,187.61, 18,198.92 and 7,219.32

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Solution

The fourth proportional to 13,187.61, 18,198.92 and 7,219.32 is: 9,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.61 : 18,198.92 = 7,219.32 : x
  2. Step 2: Convert to fraction form
    13,187.61/18,198.92 = 7,219.32/x
  3. Step 3: Cross multiply
    13,187.61x = 18,198.92 × 7,219.32
  4. Step 4: Simplify right side
    13,187.61x = 131,383,791.04
  5. Step 5: Solve for x
    x = 131,383,791.04/13,187.61
  6. Step 6: Final answer
    x = 9,962.67

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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.