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Finding the Fourth Proportional to 17,338.50, 26,012.04 and 6,246

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Solution

The fourth proportional to 17,338.50, 26,012.04 and 6,246 is: 9,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.50 : 26,012.04 = 6,246 : x
  2. Step 2: Convert to fraction form
    17,338.50/26,012.04 = 6,246/x
  3. Step 3: Cross multiply
    17,338.50x = 26,012.04 × 6,246
  4. Step 4: Simplify right side
    17,338.50x = 162,471,201.84
  5. Step 5: Solve for x
    x = 162,471,201.84/17,338.50
  6. Step 6: Final answer
    x = 9,370.55

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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.