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Finding the Fourth Proportional to 17,307, 25,972.02 and 6,363

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Solution

The fourth proportional to 17,307, 25,972.02 and 6,363 is: 9,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 25,972.02 = 6,363 : x
  2. Step 2: Convert to fraction form
    17,307/25,972.02 = 6,363/x
  3. Step 3: Cross multiply
    17,307x = 25,972.02 × 6,363
  4. Step 4: Simplify right side
    17,307x = 165,259,963.26
  5. Step 5: Solve for x
    x = 165,259,963.26/17,307
  6. Step 6: Final answer
    x = 9,548.74

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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.