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Finding the Fourth Proportional to 12,572.80, 18,880.80 and 8,209.60

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Solution

The fourth proportional to 12,572.80, 18,880.80 and 8,209.60 is: 12,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.80 : 18,880.80 = 8,209.60 : x
  2. Step 2: Convert to fraction form
    12,572.80/18,880.80 = 8,209.60/x
  3. Step 3: Cross multiply
    12,572.80x = 18,880.80 × 8,209.60
  4. Step 4: Simplify right side
    12,572.80x = 155,003,815.68
  5. Step 5: Solve for x
    x = 155,003,815.68/12,572.80
  6. Step 6: Final answer
    x = 12,328.50

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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.