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Finding the Fourth Proportional to 7,634, 10,534.92 and 4,322

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Solution

The fourth proportional to 7,634, 10,534.92 and 4,322 is: 5,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634 : 10,534.92 = 4,322 : x
  2. Step 2: Convert to fraction form
    7,634/10,534.92 = 4,322/x
  3. Step 3: Cross multiply
    7,634x = 10,534.92 × 4,322
  4. Step 4: Simplify right side
    7,634x = 45,531,924.24
  5. Step 5: Solve for x
    x = 45,531,924.24/7,634
  6. Step 6: Final answer
    x = 5,964.36

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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.