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Finding the Fourth Proportional to 6,999, 10,498.50 and 2,382

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Solution

The fourth proportional to 6,999, 10,498.50 and 2,382 is: 3,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999 : 10,498.50 = 2,382 : x
  2. Step 2: Convert to fraction form
    6,999/10,498.50 = 2,382/x
  3. Step 3: Cross multiply
    6,999x = 10,498.50 × 2,382
  4. Step 4: Simplify right side
    6,999x = 25,007,427
  5. Step 5: Solve for x
    x = 25,007,427/6,999
  6. Step 6: Final answer
    x = 3,573

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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.