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Finding the Fourth Proportional to 13,940.40, 20,910.60 and 9,785.10

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Solution

The fourth proportional to 13,940.40, 20,910.60 and 9,785.10 is: 14,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.40 : 20,910.60 = 9,785.10 : x
  2. Step 2: Convert to fraction form
    13,940.40/20,910.60 = 9,785.10/x
  3. Step 3: Cross multiply
    13,940.40x = 20,910.60 × 9,785.10
  4. Step 4: Simplify right side
    13,940.40x = 204,612,312.06
  5. Step 5: Solve for x
    x = 204,612,312.06/13,940.40
  6. Step 6: Final answer
    x = 14,677.65

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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.