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Finding the Fourth Proportional to 10,491, 15,736.50 and 3,195

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Solution

The fourth proportional to 10,491, 15,736.50 and 3,195 is: 4,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491 : 15,736.50 = 3,195 : x
  2. Step 2: Convert to fraction form
    10,491/15,736.50 = 3,195/x
  3. Step 3: Cross multiply
    10,491x = 15,736.50 × 3,195
  4. Step 4: Simplify right side
    10,491x = 50,278,117.50
  5. Step 5: Solve for x
    x = 50,278,117.50/10,491
  6. Step 6: Final answer
    x = 4,792.50

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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.