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Finding the Fourth Proportional to 9,717.82, 13,415.16 and 7,596.44

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Solution

The fourth proportional to 9,717.82, 13,415.16 and 7,596.44 is: 10,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.82 : 13,415.16 = 7,596.44 : x
  2. Step 2: Convert to fraction form
    9,717.82/13,415.16 = 7,596.44/x
  3. Step 3: Cross multiply
    9,717.82x = 13,415.16 × 7,596.44
  4. Step 4: Simplify right side
    9,717.82x = 101,907,458.03
  5. Step 5: Solve for x
    x = 101,907,458.03/9,717.82
  6. Step 6: Final answer
    x = 10,486.66

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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.