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Finding the Fourth Proportional to 10,017, 13,824.10 and 5,601

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Solution

The fourth proportional to 10,017, 13,824.10 and 5,601 is: 7,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017 : 13,824.10 = 5,601 : x
  2. Step 2: Convert to fraction form
    10,017/13,824.10 = 5,601/x
  3. Step 3: Cross multiply
    10,017x = 13,824.10 × 5,601
  4. Step 4: Simplify right side
    10,017x = 77,428,784.10
  5. Step 5: Solve for x
    x = 77,428,784.10/10,017
  6. Step 6: Final answer
    x = 7,729.74

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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.