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Finding the Fourth Proportional to 9,993.97, 14,991.50 and 2,598.47

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Solution

The fourth proportional to 9,993.97, 14,991.50 and 2,598.47 is: 3,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.97 : 14,991.50 = 2,598.47 : x
  2. Step 2: Convert to fraction form
    9,993.97/14,991.50 = 2,598.47/x
  3. Step 3: Cross multiply
    9,993.97x = 14,991.50 × 2,598.47
  4. Step 4: Simplify right side
    9,993.97x = 38,954,963.01
  5. Step 5: Solve for x
    x = 38,954,963.01/9,993.97
  6. Step 6: Final answer
    x = 3,897.85

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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.