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Finding the Fourth Proportional to 14,001, 21,001.50 and 5,793

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Solution

The fourth proportional to 14,001, 21,001.50 and 5,793 is: 8,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001 : 21,001.50 = 5,793 : x
  2. Step 2: Convert to fraction form
    14,001/21,001.50 = 5,793/x
  3. Step 3: Cross multiply
    14,001x = 21,001.50 × 5,793
  4. Step 4: Simplify right side
    14,001x = 121,661,689.50
  5. Step 5: Solve for x
    x = 121,661,689.50/14,001
  6. Step 6: Final answer
    x = 8,689.50

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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.