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Finding the Fourth Proportional to 9,967.44, 13,760.34 and 7,724.28

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Solution

The fourth proportional to 9,967.44, 13,760.34 and 7,724.28 is: 10,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.44 : 13,760.34 = 7,724.28 : x
  2. Step 2: Convert to fraction form
    9,967.44/13,760.34 = 7,724.28/x
  3. Step 3: Cross multiply
    9,967.44x = 13,760.34 × 7,724.28
  4. Step 4: Simplify right side
    9,967.44x = 106,288,719.06
  5. Step 5: Solve for x
    x = 106,288,719.06/9,967.44
  6. Step 6: Final answer
    x = 10,663.59

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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.