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Finding the Fourth Proportional to 13,733.60, 20,600.40 and 9,505.40

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Solution

The fourth proportional to 13,733.60, 20,600.40 and 9,505.40 is: 14,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.60 : 20,600.40 = 9,505.40 : x
  2. Step 2: Convert to fraction form
    13,733.60/20,600.40 = 9,505.40/x
  3. Step 3: Cross multiply
    13,733.60x = 20,600.40 × 9,505.40
  4. Step 4: Simplify right side
    13,733.60x = 195,815,042.16
  5. Step 5: Solve for x
    x = 195,815,042.16/13,733.60
  6. Step 6: Final answer
    x = 14,258.10

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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.