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Finding the Fourth Proportional to 9,662.24, 14,493.20 and 4,119.20

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Solution

The fourth proportional to 9,662.24, 14,493.20 and 4,119.20 is: 6,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.24 : 14,493.20 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    9,662.24/14,493.20 = 4,119.20/x
  3. Step 3: Cross multiply
    9,662.24x = 14,493.20 × 4,119.20
  4. Step 4: Simplify right side
    9,662.24x = 59,700,389.44
  5. Step 5: Solve for x
    x = 59,700,389.44/9,662.24
  6. Step 6: Final answer
    x = 6,178.73

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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.