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Finding the Fourth Proportional to 8,487.42, 12,706.50 and 5,190.46

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Solution

The fourth proportional to 8,487.42, 12,706.50 and 5,190.46 is: 7,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.42 : 12,706.50 = 5,190.46 : x
  2. Step 2: Convert to fraction form
    8,487.42/12,706.50 = 5,190.46/x
  3. Step 3: Cross multiply
    8,487.42x = 12,706.50 × 5,190.46
  4. Step 4: Simplify right side
    8,487.42x = 65,952,579.99
  5. Step 5: Solve for x
    x = 65,952,579.99/8,487.42
  6. Step 6: Final answer
    x = 7,770.63

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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.