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Finding the Fourth Proportional to 11,749, 17,623.50 and 3,541

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Solution

The fourth proportional to 11,749, 17,623.50 and 3,541 is: 5,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749 : 17,623.50 = 3,541 : x
  2. Step 2: Convert to fraction form
    11,749/17,623.50 = 3,541/x
  3. Step 3: Cross multiply
    11,749x = 17,623.50 × 3,541
  4. Step 4: Simplify right side
    11,749x = 62,404,813.50
  5. Step 5: Solve for x
    x = 62,404,813.50/11,749
  6. Step 6: Final answer
    x = 5,311.50

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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.