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Finding the Fourth Proportional to 13,477.60, 20,209.20 and 4,712.80

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Solution

The fourth proportional to 13,477.60, 20,209.20 and 4,712.80 is: 7,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.60 : 20,209.20 = 4,712.80 : x
  2. Step 2: Convert to fraction form
    13,477.60/20,209.20 = 4,712.80/x
  3. Step 3: Cross multiply
    13,477.60x = 20,209.20 × 4,712.80
  4. Step 4: Simplify right side
    13,477.60x = 95,241,917.76
  5. Step 5: Solve for x
    x = 95,241,917.76/13,477.60
  6. Step 6: Final answer
    x = 7,066.68

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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.