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Finding the Fourth Proportional to 9,760.50, 14,558.49 and 8,182.20

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Solution

The fourth proportional to 9,760.50, 14,558.49 and 8,182.20 is: 12,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 14,558.49 = 8,182.20 : x
  2. Step 2: Convert to fraction form
    9,760.50/14,558.49 = 8,182.20/x
  3. Step 3: Cross multiply
    9,760.50x = 14,558.49 × 8,182.20
  4. Step 4: Simplify right side
    9,760.50x = 119,120,476.88
  5. Step 5: Solve for x
    x = 119,120,476.88/9,760.50
  6. Step 6: Final answer
    x = 12,204.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.