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Finding the Fourth Proportional to 7,660.50, 10,571.50 and 4,348.50

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Solution

The fourth proportional to 7,660.50, 10,571.50 and 4,348.50 is: 6,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.50 : 10,571.50 = 4,348.50 : x
  2. Step 2: Convert to fraction form
    7,660.50/10,571.50 = 4,348.50/x
  3. Step 3: Cross multiply
    7,660.50x = 10,571.50 × 4,348.50
  4. Step 4: Simplify right side
    7,660.50x = 45,970,167.75
  5. Step 5: Solve for x
    x = 45,970,167.75/7,660.50
  6. Step 6: Final answer
    x = 6,000.94

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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.