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Finding the Fourth Proportional to 6,160.49, 9,242.20 and 2,000.50

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Solution

The fourth proportional to 6,160.49, 9,242.20 and 2,000.50 is: 3,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.49 : 9,242.20 = 2,000.50 : x
  2. Step 2: Convert to fraction form
    6,160.49/9,242.20 = 2,000.50/x
  3. Step 3: Cross multiply
    6,160.49x = 9,242.20 × 2,000.50
  4. Step 4: Simplify right side
    6,160.49x = 18,489,021.10
  5. Step 5: Solve for x
    x = 18,489,021.10/6,160.49
  6. Step 6: Final answer
    x = 3,001.23

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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.