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Finding the Fourth Proportional to 6,512.18, 9,768.13 and 1,832.13

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Solution

The fourth proportional to 6,512.18, 9,768.13 and 1,832.13 is: 2,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.18 : 9,768.13 = 1,832.13 : x
  2. Step 2: Convert to fraction form
    6,512.18/9,768.13 = 1,832.13/x
  3. Step 3: Cross multiply
    6,512.18x = 9,768.13 × 1,832.13
  4. Step 4: Simplify right side
    6,512.18x = 17,896,479.44
  5. Step 5: Solve for x
    x = 17,896,479.44/6,512.18
  6. Step 6: Final answer
    x = 2,748.16

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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.