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Finding the Fourth Proportional to 6,007.46, 9,012.06 and 1,847.82

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Solution

The fourth proportional to 6,007.46, 9,012.06 and 1,847.82 is: 2,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.46 : 9,012.06 = 1,847.82 : x
  2. Step 2: Convert to fraction form
    6,007.46/9,012.06 = 1,847.82/x
  3. Step 3: Cross multiply
    6,007.46x = 9,012.06 × 1,847.82
  4. Step 4: Simplify right side
    6,007.46x = 16,652,661.24
  5. Step 5: Solve for x
    x = 16,652,661.24/6,007.46
  6. Step 6: Final answer
    x = 2,772.00

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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.