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Finding the Fourth Proportional to 6,754.76, 10,132.05 and 3,466.07

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Solution

The fourth proportional to 6,754.76, 10,132.05 and 3,466.07 is: 5,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.76 : 10,132.05 = 3,466.07 : x
  2. Step 2: Convert to fraction form
    6,754.76/10,132.05 = 3,466.07/x
  3. Step 3: Cross multiply
    6,754.76x = 10,132.05 × 3,466.07
  4. Step 4: Simplify right side
    6,754.76x = 35,118,394.54
  5. Step 5: Solve for x
    x = 35,118,394.54/6,754.76
  6. Step 6: Final answer
    x = 5,199.06

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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.