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Finding the Fourth Proportional to 6,496.79, 9,742.73 and 5,126.27

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Solution

The fourth proportional to 6,496.79, 9,742.73 and 5,126.27 is: 7,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.79 : 9,742.73 = 5,126.27 : x
  2. Step 2: Convert to fraction form
    6,496.79/9,742.73 = 5,126.27/x
  3. Step 3: Cross multiply
    6,496.79x = 9,742.73 × 5,126.27
  4. Step 4: Simplify right side
    6,496.79x = 49,943,790.17
  5. Step 5: Solve for x
    x = 49,943,790.17/6,496.79
  6. Step 6: Final answer
    x = 7,687.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.