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Finding the Fourth Proportional to 9,469.20, 14,202.54 and 6,849.21

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Solution

The fourth proportional to 9,469.20, 14,202.54 and 6,849.21 is: 10,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.20 : 14,202.54 = 6,849.21 : x
  2. Step 2: Convert to fraction form
    9,469.20/14,202.54 = 6,849.21/x
  3. Step 3: Cross multiply
    9,469.20x = 14,202.54 × 6,849.21
  4. Step 4: Simplify right side
    9,469.20x = 97,276,178.99
  5. Step 5: Solve for x
    x = 97,276,178.99/9,469.20
  6. Step 6: Final answer
    x = 10,272.90

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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.