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Finding the Fourth Proportional to 13,273, 19,913.10 and 4,039

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Solution

The fourth proportional to 13,273, 19,913.10 and 4,039 is: 6,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273 : 19,913.10 = 4,039 : x
  2. Step 2: Convert to fraction form
    13,273/19,913.10 = 4,039/x
  3. Step 3: Cross multiply
    13,273x = 19,913.10 × 4,039
  4. Step 4: Simplify right side
    13,273x = 80,429,010.90
  5. Step 5: Solve for x
    x = 80,429,010.90/13,273
  6. Step 6: Final answer
    x = 6,059.60

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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.