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Finding the Fourth Proportional to 13,446.60, 20,162.70 and 5,646.60

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Solution

The fourth proportional to 13,446.60, 20,162.70 and 5,646.60 is: 8,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.60 : 20,162.70 = 5,646.60 : x
  2. Step 2: Convert to fraction form
    13,446.60/20,162.70 = 5,646.60/x
  3. Step 3: Cross multiply
    13,446.60x = 20,162.70 × 5,646.60
  4. Step 4: Simplify right side
    13,446.60x = 113,850,701.82
  5. Step 5: Solve for x
    x = 113,850,701.82/13,446.60
  6. Step 6: Final answer
    x = 8,466.88

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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.