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Finding the Fourth Proportional to 6,160, 9,241.46 and 2,000.02

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Solution

The fourth proportional to 6,160, 9,241.46 and 2,000.02 is: 3,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160 : 9,241.46 = 2,000.02 : x
  2. Step 2: Convert to fraction form
    6,160/9,241.46 = 2,000.02/x
  3. Step 3: Cross multiply
    6,160x = 9,241.46 × 2,000.02
  4. Step 4: Simplify right side
    6,160x = 18,483,104.83
  5. Step 5: Solve for x
    x = 18,483,104.83/6,160
  6. Step 6: Final answer
    x = 3,000.50

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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.