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Finding the Fourth Proportional to 6,707, 10,060.34 and 2,327.48

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Solution

The fourth proportional to 6,707, 10,060.34 and 2,327.48 is: 3,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707 : 10,060.34 = 2,327.48 : x
  2. Step 2: Convert to fraction form
    6,707/10,060.34 = 2,327.48/x
  3. Step 3: Cross multiply
    6,707x = 10,060.34 × 2,327.48
  4. Step 4: Simplify right side
    6,707x = 23,415,240.14
  5. Step 5: Solve for x
    x = 23,415,240.14/6,707
  6. Step 6: Final answer
    x = 3,491.16

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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.