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Finding the Fourth Proportional to 11,573, 17,360.34 and 4,647.50

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Solution

The fourth proportional to 11,573, 17,360.34 and 4,647.50 is: 6,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573 : 17,360.34 = 4,647.50 : x
  2. Step 2: Convert to fraction form
    11,573/17,360.34 = 4,647.50/x
  3. Step 3: Cross multiply
    11,573x = 17,360.34 × 4,647.50
  4. Step 4: Simplify right side
    11,573x = 80,682,180.15
  5. Step 5: Solve for x
    x = 80,682,180.15/11,573
  6. Step 6: Final answer
    x = 6,971.59

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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.