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Finding the Fourth Proportional to 8,623.86, 12,954.21 and 6,174.42

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Solution

The fourth proportional to 8,623.86, 12,954.21 and 6,174.42 is: 9,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.86 : 12,954.21 = 6,174.42 : x
  2. Step 2: Convert to fraction form
    8,623.86/12,954.21 = 6,174.42/x
  3. Step 3: Cross multiply
    8,623.86x = 12,954.21 × 6,174.42
  4. Step 4: Simplify right side
    8,623.86x = 79,984,733.31
  5. Step 5: Solve for x
    x = 79,984,733.31/8,623.86
  6. Step 6: Final answer
    x = 9,274.82

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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.