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Finding the Fourth Proportional to 6,000, 8,999.97 and 1,617.90

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Solution

The fourth proportional to 6,000, 8,999.97 and 1,617.90 is: 2,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000 : 8,999.97 = 1,617.90 : x
  2. Step 2: Convert to fraction form
    6,000/8,999.97 = 1,617.90/x
  3. Step 3: Cross multiply
    6,000x = 8,999.97 × 1,617.90
  4. Step 4: Simplify right side
    6,000x = 14,561,051.46
  5. Step 5: Solve for x
    x = 14,561,051.46/6,000
  6. Step 6: Final answer
    x = 2,426.84

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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.