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Finding the Fourth Proportional to 6,997.50, 10,497.33 and 2,615.58

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Solution

The fourth proportional to 6,997.50, 10,497.33 and 2,615.58 is: 3,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.50 : 10,497.33 = 2,615.58 : x
  2. Step 2: Convert to fraction form
    6,997.50/10,497.33 = 2,615.58/x
  3. Step 3: Cross multiply
    6,997.50x = 10,497.33 × 2,615.58
  4. Step 4: Simplify right side
    6,997.50x = 27,456,606.40
  5. Step 5: Solve for x
    x = 27,456,606.40/6,997.50
  6. Step 6: Final answer
    x = 3,923.77

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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.