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Finding the Fourth Proportional to 6,792.60, 10,188.48 and 2,409.48

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Solution

The fourth proportional to 6,792.60, 10,188.48 and 2,409.48 is: 3,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.60 : 10,188.48 = 2,409.48 : x
  2. Step 2: Convert to fraction form
    6,792.60/10,188.48 = 2,409.48/x
  3. Step 3: Cross multiply
    6,792.60x = 10,188.48 × 2,409.48
  4. Step 4: Simplify right side
    6,792.60x = 24,548,938.79
  5. Step 5: Solve for x
    x = 24,548,938.79/6,792.60
  6. Step 6: Final answer
    x = 3,614.07

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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.