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Finding the Fourth Proportional to 12,382, 17,087.46 and 6,793

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Solution

The fourth proportional to 12,382, 17,087.46 and 6,793 is: 9,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382 : 17,087.46 = 6,793 : x
  2. Step 2: Convert to fraction form
    12,382/17,087.46 = 6,793/x
  3. Step 3: Cross multiply
    12,382x = 17,087.46 × 6,793
  4. Step 4: Simplify right side
    12,382x = 116,075,115.78
  5. Step 5: Solve for x
    x = 116,075,115.78/12,382
  6. Step 6: Final answer
    x = 9,374.50

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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.