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Finding the Fourth Proportional to 6,104.32, 9,156.16 and 2,000

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Solution

The fourth proportional to 6,104.32, 9,156.16 and 2,000 is: 2,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.32 : 9,156.16 = 2,000 : x
  2. Step 2: Convert to fraction form
    6,104.32/9,156.16 = 2,000/x
  3. Step 3: Cross multiply
    6,104.32x = 9,156.16 × 2,000
  4. Step 4: Simplify right side
    6,104.32x = 18,312,320
  5. Step 5: Solve for x
    x = 18,312,320/6,104.32
  6. Step 6: Final answer
    x = 2,999.90

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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.