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Finding the Fourth Proportional to 8,239.84, 12,359.62 and 1,999.90

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Solution

The fourth proportional to 8,239.84, 12,359.62 and 1,999.90 is: 2,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.84 : 12,359.62 = 1,999.90 : x
  2. Step 2: Convert to fraction form
    8,239.84/12,359.62 = 1,999.90/x
  3. Step 3: Cross multiply
    8,239.84x = 12,359.62 × 1,999.90
  4. Step 4: Simplify right side
    8,239.84x = 24,718,011.54
  5. Step 5: Solve for x
    x = 24,718,011.54/8,239.84
  6. Step 6: Final answer
    x = 2,999.82

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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.