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Finding the Fourth Proportional to 6,199.66, 9,300.64 and 2,039.84

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Solution

The fourth proportional to 6,199.66, 9,300.64 and 2,039.84 is: 3,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.66 : 9,300.64 = 2,039.84 : x
  2. Step 2: Convert to fraction form
    6,199.66/9,300.64 = 2,039.84/x
  3. Step 3: Cross multiply
    6,199.66x = 9,300.64 × 2,039.84
  4. Step 4: Simplify right side
    6,199.66x = 18,971,817.50
  5. Step 5: Solve for x
    x = 18,971,817.50/6,199.66
  6. Step 6: Final answer
    x = 3,060.14

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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.