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Finding the Fourth Proportional to 8,111.60, 12,172.80 and 3,726.80

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Solution

The fourth proportional to 8,111.60, 12,172.80 and 3,726.80 is: 5,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.60 : 12,172.80 = 3,726.80 : x
  2. Step 2: Convert to fraction form
    8,111.60/12,172.80 = 3,726.80/x
  3. Step 3: Cross multiply
    8,111.60x = 12,172.80 × 3,726.80
  4. Step 4: Simplify right side
    8,111.60x = 45,365,591.04
  5. Step 5: Solve for x
    x = 45,365,591.04/8,111.60
  6. Step 6: Final answer
    x = 5,592.68

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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.