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Finding the Fourth Proportional to 8,197.74, 12,304.98 and 5,999.94

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Solution

The fourth proportional to 8,197.74, 12,304.98 and 5,999.94 is: 9,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.74 : 12,304.98 = 5,999.94 : x
  2. Step 2: Convert to fraction form
    8,197.74/12,304.98 = 5,999.94/x
  3. Step 3: Cross multiply
    8,197.74x = 12,304.98 × 5,999.94
  4. Step 4: Simplify right side
    8,197.74x = 73,829,141.70
  5. Step 5: Solve for x
    x = 73,829,141.70/8,197.74
  6. Step 6: Final answer
    x = 9,006.04

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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.