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Finding the Fourth Proportional to 6,826.51, 10,239.69 and 3,127.69

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Solution

The fourth proportional to 6,826.51, 10,239.69 and 3,127.69 is: 4,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.51 : 10,239.69 = 3,127.69 : x
  2. Step 2: Convert to fraction form
    6,826.51/10,239.69 = 3,127.69/x
  3. Step 3: Cross multiply
    6,826.51x = 10,239.69 × 3,127.69
  4. Step 4: Simplify right side
    6,826.51x = 32,026,524.82
  5. Step 5: Solve for x
    x = 32,026,524.82/6,826.51
  6. Step 6: Final answer
    x = 4,691.50

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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.