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Finding the Fourth Proportional to 8,099.70, 12,147.22 and 3,420.77

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Solution

The fourth proportional to 8,099.70, 12,147.22 and 3,420.77 is: 5,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.70 : 12,147.22 = 3,420.77 : x
  2. Step 2: Convert to fraction form
    8,099.70/12,147.22 = 3,420.77/x
  3. Step 3: Cross multiply
    8,099.70x = 12,147.22 × 3,420.77
  4. Step 4: Simplify right side
    8,099.70x = 41,552,770.06
  5. Step 5: Solve for x
    x = 41,552,770.06/8,099.70
  6. Step 6: Final answer
    x = 5,130.16

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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.