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Finding the Fourth Proportional to 9,797.44, 14,635.64 and 7,853.44

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Solution

The fourth proportional to 9,797.44, 14,635.64 and 7,853.44 is: 11,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 14,635.64 = 7,853.44 : x
  2. Step 2: Convert to fraction form
    9,797.44/14,635.64 = 7,853.44/x
  3. Step 3: Cross multiply
    9,797.44x = 14,635.64 × 7,853.44
  4. Step 4: Simplify right side
    9,797.44x = 114,940,120.60
  5. Step 5: Solve for x
    x = 114,940,120.60/9,797.44
  6. Step 6: Final answer
    x = 11,731.65

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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.