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Finding the Fourth Proportional to 13,297.66, 19,958.82 and 6,728.50

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Solution

The fourth proportional to 13,297.66, 19,958.82 and 6,728.50 is: 10,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.66 : 19,958.82 = 6,728.50 : x
  2. Step 2: Convert to fraction form
    13,297.66/19,958.82 = 6,728.50/x
  3. Step 3: Cross multiply
    13,297.66x = 19,958.82 × 6,728.50
  4. Step 4: Simplify right side
    13,297.66x = 134,292,920.37
  5. Step 5: Solve for x
    x = 134,292,920.37/13,297.66
  6. Step 6: Final answer
    x = 10,098.99

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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.