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Finding the Fourth Proportional to 6,133.30, 9,199.95 and 5,499.70

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Solution

The fourth proportional to 6,133.30, 9,199.95 and 5,499.70 is: 8,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.30 : 9,199.95 = 5,499.70 : x
  2. Step 2: Convert to fraction form
    6,133.30/9,199.95 = 5,499.70/x
  3. Step 3: Cross multiply
    6,133.30x = 9,199.95 × 5,499.70
  4. Step 4: Simplify right side
    6,133.30x = 50,596,965.02
  5. Step 5: Solve for x
    x = 50,596,965.02/6,133.30
  6. Step 6: Final answer
    x = 8,249.55

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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.