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Finding the Fourth Proportional to 13,174.56, 19,764.24 and 6,249

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Solution

The fourth proportional to 13,174.56, 19,764.24 and 6,249 is: 9,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.56 : 19,764.24 = 6,249 : x
  2. Step 2: Convert to fraction form
    13,174.56/19,764.24 = 6,249/x
  3. Step 3: Cross multiply
    13,174.56x = 19,764.24 × 6,249
  4. Step 4: Simplify right side
    13,174.56x = 123,506,735.76
  5. Step 5: Solve for x
    x = 123,506,735.76/13,174.56
  6. Step 6: Final answer
    x = 9,374.64

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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.