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Finding the Fourth Proportional to 10,169.04, 15,254.10 and 3,243

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Solution

The fourth proportional to 10,169.04, 15,254.10 and 3,243 is: 4,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.04 : 15,254.10 = 3,243 : x
  2. Step 2: Convert to fraction form
    10,169.04/15,254.10 = 3,243/x
  3. Step 3: Cross multiply
    10,169.04x = 15,254.10 × 3,243
  4. Step 4: Simplify right side
    10,169.04x = 49,469,046.30
  5. Step 5: Solve for x
    x = 49,469,046.30/10,169.04
  6. Step 6: Final answer
    x = 4,864.67

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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.