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Finding the Fourth Proportional to 8,191.76, 12,274.68 and 4,292.24

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Solution

The fourth proportional to 8,191.76, 12,274.68 and 4,292.24 is: 6,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.76 : 12,274.68 = 4,292.24 : x
  2. Step 2: Convert to fraction form
    8,191.76/12,274.68 = 4,292.24/x
  3. Step 3: Cross multiply
    8,191.76x = 12,274.68 × 4,292.24
  4. Step 4: Simplify right side
    8,191.76x = 52,685,872.48
  5. Step 5: Solve for x
    x = 52,685,872.48/8,191.76
  6. Step 6: Final answer
    x = 6,431.57

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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.