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Finding the Fourth Proportional to 13,097.20, 19,653 and 6,171.52

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Solution

The fourth proportional to 13,097.20, 19,653 and 6,171.52 is: 9,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.20 : 19,653 = 6,171.52 : x
  2. Step 2: Convert to fraction form
    13,097.20/19,653 = 6,171.52/x
  3. Step 3: Cross multiply
    13,097.20x = 19,653 × 6,171.52
  4. Step 4: Simplify right side
    13,097.20x = 121,288,882.56
  5. Step 5: Solve for x
    x = 121,288,882.56/13,097.20
  6. Step 6: Final answer
    x = 9,260.67

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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.