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Finding the Fourth Proportional to 6,657.48, 9,986.46 and 2,497.06

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Solution

The fourth proportional to 6,657.48, 9,986.46 and 2,497.06 is: 3,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.48 : 9,986.46 = 2,497.06 : x
  2. Step 2: Convert to fraction form
    6,657.48/9,986.46 = 2,497.06/x
  3. Step 3: Cross multiply
    6,657.48x = 9,986.46 × 2,497.06
  4. Step 4: Simplify right side
    6,657.48x = 24,936,789.81
  5. Step 5: Solve for x
    x = 24,936,789.81/6,657.48
  6. Step 6: Final answer
    x = 3,745.68

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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.