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Finding the Fourth Proportional to 10,397, 15,601.98 and 4,241

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Solution

The fourth proportional to 10,397, 15,601.98 and 4,241 is: 6,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397 : 15,601.98 = 4,241 : x
  2. Step 2: Convert to fraction form
    10,397/15,601.98 = 4,241/x
  3. Step 3: Cross multiply
    10,397x = 15,601.98 × 4,241
  4. Step 4: Simplify right side
    10,397x = 66,167,997.18
  5. Step 5: Solve for x
    x = 66,167,997.18/10,397
  6. Step 6: Final answer
    x = 6,364.14

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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.