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Finding the Fourth Proportional to 12,033.60, 18,064.80 and 6,772.80

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Solution

The fourth proportional to 12,033.60, 18,064.80 and 6,772.80 is: 10,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.60 : 18,064.80 = 6,772.80 : x
  2. Step 2: Convert to fraction form
    12,033.60/18,064.80 = 6,772.80/x
  3. Step 3: Cross multiply
    12,033.60x = 18,064.80 × 6,772.80
  4. Step 4: Simplify right side
    12,033.60x = 122,349,277.44
  5. Step 5: Solve for x
    x = 122,349,277.44/12,033.60
  6. Step 6: Final answer
    x = 10,167.30

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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.