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Finding the Fourth Proportional to 8,241.64, 12,362.32 and 2,001.70

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Solution

The fourth proportional to 8,241.64, 12,362.32 and 2,001.70 is: 3,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.64 : 12,362.32 = 2,001.70 : x
  2. Step 2: Convert to fraction form
    8,241.64/12,362.32 = 2,001.70/x
  3. Step 3: Cross multiply
    8,241.64x = 12,362.32 × 2,001.70
  4. Step 4: Simplify right side
    8,241.64x = 24,745,655.94
  5. Step 5: Solve for x
    x = 24,745,655.94/8,241.64
  6. Step 6: Final answer
    x = 3,002.52

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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.