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Finding the Fourth Proportional to 8,237.97, 12,369.26 and 8,114.96

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Solution

The fourth proportional to 8,237.97, 12,369.26 and 8,114.96 is: 12,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.97 : 12,369.26 = 8,114.96 : x
  2. Step 2: Convert to fraction form
    8,237.97/12,369.26 = 8,114.96/x
  3. Step 3: Cross multiply
    8,237.97x = 12,369.26 × 8,114.96
  4. Step 4: Simplify right side
    8,237.97x = 100,376,101.34
  5. Step 5: Solve for x
    x = 100,376,101.34/8,237.97
  6. Step 6: Final answer
    x = 12,184.57

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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.