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Finding the Fourth Proportional to 6,792.74, 10,189.14 and 2,410.32

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Solution

The fourth proportional to 6,792.74, 10,189.14 and 2,410.32 is: 3,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.74 : 10,189.14 = 2,410.32 : x
  2. Step 2: Convert to fraction form
    6,792.74/10,189.14 = 2,410.32/x
  3. Step 3: Cross multiply
    6,792.74x = 10,189.14 × 2,410.32
  4. Step 4: Simplify right side
    6,792.74x = 24,559,087.92
  5. Step 5: Solve for x
    x = 24,559,087.92/6,792.74
  6. Step 6: Final answer
    x = 3,615.49

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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.