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Finding the Fourth Proportional to 11,649, 17,473.50 and 4,723.50

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Solution

The fourth proportional to 11,649, 17,473.50 and 4,723.50 is: 7,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649 : 17,473.50 = 4,723.50 : x
  2. Step 2: Convert to fraction form
    11,649/17,473.50 = 4,723.50/x
  3. Step 3: Cross multiply
    11,649x = 17,473.50 × 4,723.50
  4. Step 4: Simplify right side
    11,649x = 82,536,077.25
  5. Step 5: Solve for x
    x = 82,536,077.25/11,649
  6. Step 6: Final answer
    x = 7,085.25

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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.