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Finding the Fourth Proportional to 6,744.85, 10,117.48 and 1,814.50

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Solution

The fourth proportional to 6,744.85, 10,117.48 and 1,814.50 is: 2,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.85 : 10,117.48 = 1,814.50 : x
  2. Step 2: Convert to fraction form
    6,744.85/10,117.48 = 1,814.50/x
  3. Step 3: Cross multiply
    6,744.85x = 10,117.48 × 1,814.50
  4. Step 4: Simplify right side
    6,744.85x = 18,358,112.34
  5. Step 5: Solve for x
    x = 18,358,112.34/6,744.85
  6. Step 6: Final answer
    x = 2,721.80

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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.