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Finding the Fourth Proportional to 6,735, 9,262.98 and 5,406.60

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Solution

The fourth proportional to 6,735, 9,262.98 and 5,406.60 is: 7,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 9,262.98 = 5,406.60 : x
  2. Step 2: Convert to fraction form
    6,735/9,262.98 = 5,406.60/x
  3. Step 3: Cross multiply
    6,735x = 9,262.98 × 5,406.60
  4. Step 4: Simplify right side
    6,735x = 50,081,227.67
  5. Step 5: Solve for x
    x = 50,081,227.67/6,735
  6. Step 6: Final answer
    x = 7,435.97

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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.