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Finding the Fourth Proportional to 13,412.80, 20,133.60 and 7,580.80

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Solution

The fourth proportional to 13,412.80, 20,133.60 and 7,580.80 is: 11,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.80 : 20,133.60 = 7,580.80 : x
  2. Step 2: Convert to fraction form
    13,412.80/20,133.60 = 7,580.80/x
  3. Step 3: Cross multiply
    13,412.80x = 20,133.60 × 7,580.80
  4. Step 4: Simplify right side
    13,412.80x = 152,628,794.88
  5. Step 5: Solve for x
    x = 152,628,794.88/13,412.80
  6. Step 6: Final answer
    x = 11,379.34

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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.