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Finding the Fourth Proportional to 6,133.08, 9,199.62 and 1,972.99

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Solution

The fourth proportional to 6,133.08, 9,199.62 and 1,972.99 is: 2,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.08 : 9,199.62 = 1,972.99 : x
  2. Step 2: Convert to fraction form
    6,133.08/9,199.62 = 1,972.99/x
  3. Step 3: Cross multiply
    6,133.08x = 9,199.62 × 1,972.99
  4. Step 4: Simplify right side
    6,133.08x = 18,150,769.76
  5. Step 5: Solve for x
    x = 18,150,769.76/6,133.08
  6. Step 6: Final answer
    x = 2,959.49

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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.