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Finding the Fourth Proportional to 9,936.44, 13,713 and 6,573.44

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Solution

The fourth proportional to 9,936.44, 13,713 and 6,573.44 is: 9,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.44 : 13,713 = 6,573.44 : x
  2. Step 2: Convert to fraction form
    9,936.44/13,713 = 6,573.44/x
  3. Step 3: Cross multiply
    9,936.44x = 13,713 × 6,573.44
  4. Step 4: Simplify right side
    9,936.44x = 90,141,582.72
  5. Step 5: Solve for x
    x = 90,141,582.72/9,936.44
  6. Step 6: Final answer
    x = 9,071.82

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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.