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Finding the Fourth Proportional to 17,311.96, 25,971.78 and 4,999

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Solution

The fourth proportional to 17,311.96, 25,971.78 and 4,999 is: 7,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.96 : 25,971.78 = 4,999 : x
  2. Step 2: Convert to fraction form
    17,311.96/25,971.78 = 4,999/x
  3. Step 3: Cross multiply
    17,311.96x = 25,971.78 × 4,999
  4. Step 4: Simplify right side
    17,311.96x = 129,832,928.22
  5. Step 5: Solve for x
    x = 129,832,928.22/17,311.96
  6. Step 6: Final answer
    x = 7,499.61

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1.5x scale

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.