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Finding the Fourth Proportional to 6,507, 9,761.73 and 2,611.71

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Solution

The fourth proportional to 6,507, 9,761.73 and 2,611.71 is: 3,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 9,761.73 = 2,611.71 : x
  2. Step 2: Convert to fraction form
    6,507/9,761.73 = 2,611.71/x
  3. Step 3: Cross multiply
    6,507x = 9,761.73 × 2,611.71
  4. Step 4: Simplify right side
    6,507x = 25,494,807.86
  5. Step 5: Solve for x
    x = 25,494,807.86/6,507
  6. Step 6: Final answer
    x = 3,918.06

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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.