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Finding the Fourth Proportional to 12,273, 18,410.46 and 4,065

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Solution

The fourth proportional to 12,273, 18,410.46 and 4,065 is: 6,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273 : 18,410.46 = 4,065 : x
  2. Step 2: Convert to fraction form
    12,273/18,410.46 = 4,065/x
  3. Step 3: Cross multiply
    12,273x = 18,410.46 × 4,065
  4. Step 4: Simplify right side
    12,273x = 74,838,519.90
  5. Step 5: Solve for x
    x = 74,838,519.90/12,273
  6. Step 6: Final answer
    x = 6,097.82

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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.