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Finding the Fourth Proportional to 10,536.62, 14,536.38 and 6,754.48

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Solution

The fourth proportional to 10,536.62, 14,536.38 and 6,754.48 is: 9,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.62 : 14,536.38 = 6,754.48 : x
  2. Step 2: Convert to fraction form
    10,536.62/14,536.38 = 6,754.48/x
  3. Step 3: Cross multiply
    10,536.62x = 14,536.38 × 6,754.48
  4. Step 4: Simplify right side
    10,536.62x = 98,185,651.64
  5. Step 5: Solve for x
    x = 98,185,651.64/10,536.62
  6. Step 6: Final answer
    x = 9,318.51

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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.