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Finding the Fourth Proportional to 6,784.48, 10,229.02 and 6,742.36

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Solution

The fourth proportional to 6,784.48, 10,229.02 and 6,742.36 is: 10,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.48 : 10,229.02 = 6,742.36 : x
  2. Step 2: Convert to fraction form
    6,784.48/10,229.02 = 6,742.36/x
  3. Step 3: Cross multiply
    6,784.48x = 10,229.02 × 6,742.36
  4. Step 4: Simplify right side
    6,784.48x = 68,967,735.29
  5. Step 5: Solve for x
    x = 68,967,735.29/6,784.48
  6. Step 6: Final answer
    x = 10,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.