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Finding the Fourth Proportional to 7,662, 11,498.40 and 3,046.08

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Solution

The fourth proportional to 7,662, 11,498.40 and 3,046.08 is: 4,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662 : 11,498.40 = 3,046.08 : x
  2. Step 2: Convert to fraction form
    7,662/11,498.40 = 3,046.08/x
  3. Step 3: Cross multiply
    7,662x = 11,498.40 × 3,046.08
  4. Step 4: Simplify right side
    7,662x = 35,025,046.27
  5. Step 5: Solve for x
    x = 35,025,046.27/7,662
  6. Step 6: Final answer
    x = 4,571.27

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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.