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Finding the Fourth Proportional to 9,967.55, 13,760.13 and 6,797.30

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Solution

The fourth proportional to 9,967.55, 13,760.13 and 6,797.30 is: 9,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.55 : 13,760.13 = 6,797.30 : x
  2. Step 2: Convert to fraction form
    9,967.55/13,760.13 = 6,797.30/x
  3. Step 3: Cross multiply
    9,967.55x = 13,760.13 × 6,797.30
  4. Step 4: Simplify right side
    9,967.55x = 93,531,662.85
  5. Step 5: Solve for x
    x = 93,531,662.85/9,967.55
  6. Step 6: Final answer
    x = 9,383.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.