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Finding the Fourth Proportional to 9,662.72, 14,462.08 and 8,311.04

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Solution

The fourth proportional to 9,662.72, 14,462.08 and 8,311.04 is: 12,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.72 : 14,462.08 = 8,311.04 : x
  2. Step 2: Convert to fraction form
    9,662.72/14,462.08 = 8,311.04/x
  3. Step 3: Cross multiply
    9,662.72x = 14,462.08 × 8,311.04
  4. Step 4: Simplify right side
    9,662.72x = 120,194,925.36
  5. Step 5: Solve for x
    x = 120,194,925.36/9,662.72
  6. Step 6: Final answer
    x = 12,439.04

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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.