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Finding the Fourth Proportional to 13,674.95, 20,494.65 and 6,173

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Solution

The fourth proportional to 13,674.95, 20,494.65 and 6,173 is: 9,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.95 : 20,494.65 = 6,173 : x
  2. Step 2: Convert to fraction form
    13,674.95/20,494.65 = 6,173/x
  3. Step 3: Cross multiply
    13,674.95x = 20,494.65 × 6,173
  4. Step 4: Simplify right side
    13,674.95x = 126,513,474.45
  5. Step 5: Solve for x
    x = 126,513,474.45/13,674.95
  6. Step 6: Final answer
    x = 9,251.48

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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.