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Finding the Fourth Proportional to 35,204, 52,806 and 10,580

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Solution

The fourth proportional to 35,204, 52,806 and 10,580 is: 15,870

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,204 : 52,806 = 10,580 : x
  2. Step 2: Convert to fraction form
    35,204/52,806 = 10,580/x
  3. Step 3: Cross multiply
    35,204x = 52,806 × 10,580
  4. Step 4: Simplify right side
    35,204x = 558,687,480
  5. Step 5: Solve for x
    x = 558,687,480/35,204
  6. Step 6: Final answer
    x = 15,870

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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.