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Finding the Fourth Proportional to 6,134.20, 9,197.85 and 3,007.50

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Solution

The fourth proportional to 6,134.20, 9,197.85 and 3,007.50 is: 4,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.20 : 9,197.85 = 3,007.50 : x
  2. Step 2: Convert to fraction form
    6,134.20/9,197.85 = 3,007.50/x
  3. Step 3: Cross multiply
    6,134.20x = 9,197.85 × 3,007.50
  4. Step 4: Simplify right side
    6,134.20x = 27,662,510.66
  5. Step 5: Solve for x
    x = 27,662,510.66/6,134.20
  6. Step 6: Final answer
    x = 4,509.56

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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.