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Finding the Fourth Proportional to 13,700.20, 20,544.30 and 6,302.20

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Solution

The fourth proportional to 13,700.20, 20,544.30 and 6,302.20 is: 9,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.20 : 20,544.30 = 6,302.20 : x
  2. Step 2: Convert to fraction form
    13,700.20/20,544.30 = 6,302.20/x
  3. Step 3: Cross multiply
    13,700.20x = 20,544.30 × 6,302.20
  4. Step 4: Simplify right side
    13,700.20x = 129,474,287.46
  5. Step 5: Solve for x
    x = 129,474,287.46/13,700.20
  6. Step 6: Final answer
    x = 9,450.54

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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.