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Finding the Fourth Proportional to 10,729, 16,099.98 and 4,573

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Solution

The fourth proportional to 10,729, 16,099.98 and 4,573 is: 6,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729 : 16,099.98 = 4,573 : x
  2. Step 2: Convert to fraction form
    10,729/16,099.98 = 4,573/x
  3. Step 3: Cross multiply
    10,729x = 16,099.98 × 4,573
  4. Step 4: Simplify right side
    10,729x = 73,625,208.54
  5. Step 5: Solve for x
    x = 73,625,208.54/10,729
  6. Step 6: Final answer
    x = 6,862.26

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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.