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Finding the Fourth Proportional to 9,616.80, 14,400.90 and 6,096.09

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Solution

The fourth proportional to 9,616.80, 14,400.90 and 6,096.09 is: 9,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.80 : 14,400.90 = 6,096.09 : x
  2. Step 2: Convert to fraction form
    9,616.80/14,400.90 = 6,096.09/x
  3. Step 3: Cross multiply
    9,616.80x = 14,400.90 × 6,096.09
  4. Step 4: Simplify right side
    9,616.80x = 87,789,182.48
  5. Step 5: Solve for x
    x = 87,789,182.48/9,616.80
  6. Step 6: Final answer
    x = 9,128.73

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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.