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Finding the Fourth Proportional to 13,855.60, 20,783.40 and 8,009.20

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Solution

The fourth proportional to 13,855.60, 20,783.40 and 8,009.20 is: 12,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.60 : 20,783.40 = 8,009.20 : x
  2. Step 2: Convert to fraction form
    13,855.60/20,783.40 = 8,009.20/x
  3. Step 3: Cross multiply
    13,855.60x = 20,783.40 × 8,009.20
  4. Step 4: Simplify right side
    13,855.60x = 166,458,407.28
  5. Step 5: Solve for x
    x = 166,458,407.28/13,855.60
  6. Step 6: Final answer
    x = 12,013.80

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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.