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Finding the Fourth Proportional to 10,729.72, 14,806.02 and 6,013

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Solution

The fourth proportional to 10,729.72, 14,806.02 and 6,013 is: 8,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.72 : 14,806.02 = 6,013 : x
  2. Step 2: Convert to fraction form
    10,729.72/14,806.02 = 6,013/x
  3. Step 3: Cross multiply
    10,729.72x = 14,806.02 × 6,013
  4. Step 4: Simplify right side
    10,729.72x = 89,028,598.26
  5. Step 5: Solve for x
    x = 89,028,598.26/10,729.72
  6. Step 6: Final answer
    x = 8,297.38

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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.