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Finding the Fourth Proportional to 11,470, 17,205 and 3,262

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Solution

The fourth proportional to 11,470, 17,205 and 3,262 is: 4,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470 : 17,205 = 3,262 : x
  2. Step 2: Convert to fraction form
    11,470/17,205 = 3,262/x
  3. Step 3: Cross multiply
    11,470x = 17,205 × 3,262
  4. Step 4: Simplify right side
    11,470x = 56,122,710
  5. Step 5: Solve for x
    x = 56,122,710/11,470
  6. Step 6: Final answer
    x = 4,893

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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.