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Finding the Fourth Proportional to 4,136.50, 6,203.53 and 1,214.11

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Solution

The fourth proportional to 4,136.50, 6,203.53 and 1,214.11 is: 1,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.50 : 6,203.53 = 1,214.11 : x
  2. Step 2: Convert to fraction form
    4,136.50/6,203.53 = 1,214.11/x
  3. Step 3: Cross multiply
    4,136.50x = 6,203.53 × 1,214.11
  4. Step 4: Simplify right side
    4,136.50x = 7,531,767.81
  5. Step 5: Solve for x
    x = 7,531,767.81/4,136.50
  6. Step 6: Final answer
    x = 1,820.81

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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.