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Finding the Fourth Proportional to 10,610.50, 15,915.78 and 3,685

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Solution

The fourth proportional to 10,610.50, 15,915.78 and 3,685 is: 5,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.50 : 15,915.78 = 3,685 : x
  2. Step 2: Convert to fraction form
    10,610.50/15,915.78 = 3,685/x
  3. Step 3: Cross multiply
    10,610.50x = 15,915.78 × 3,685
  4. Step 4: Simplify right side
    10,610.50x = 58,649,649.30
  5. Step 5: Solve for x
    x = 58,649,649.30/10,610.50
  6. Step 6: Final answer
    x = 5,527.51

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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.