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Finding the Fourth Proportional to 8,420.40, 12,611.10 and 4,195.96

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Solution

The fourth proportional to 8,420.40, 12,611.10 and 4,195.96 is: 6,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.40 : 12,611.10 = 4,195.96 : x
  2. Step 2: Convert to fraction form
    8,420.40/12,611.10 = 4,195.96/x
  3. Step 3: Cross multiply
    8,420.40x = 12,611.10 × 4,195.96
  4. Step 4: Simplify right side
    8,420.40x = 52,915,671.16
  5. Step 5: Solve for x
    x = 52,915,671.16/8,420.40
  6. Step 6: Final answer
    x = 6,284.22

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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.