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Finding the Fourth Proportional to 10,238, 14,127.72 and 6,260.24

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Solution

The fourth proportional to 10,238, 14,127.72 and 6,260.24 is: 8,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238 : 14,127.72 = 6,260.24 : x
  2. Step 2: Convert to fraction form
    10,238/14,127.72 = 6,260.24/x
  3. Step 3: Cross multiply
    10,238x = 14,127.72 × 6,260.24
  4. Step 4: Simplify right side
    10,238x = 88,442,917.85
  5. Step 5: Solve for x
    x = 88,442,917.85/10,238
  6. Step 6: Final answer
    x = 8,638.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.