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Finding the Fourth Proportional to 18,407, 27,610.50 and 4,556

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Solution

The fourth proportional to 18,407, 27,610.50 and 4,556 is: 6,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407 : 27,610.50 = 4,556 : x
  2. Step 2: Convert to fraction form
    18,407/27,610.50 = 4,556/x
  3. Step 3: Cross multiply
    18,407x = 27,610.50 × 4,556
  4. Step 4: Simplify right side
    18,407x = 125,793,438
  5. Step 5: Solve for x
    x = 125,793,438/18,407
  6. Step 6: Final answer
    x = 6,834

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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.