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Finding the Fourth Proportional to 6,007.04, 9,012 and 2,546.72

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Solution

The fourth proportional to 6,007.04, 9,012 and 2,546.72 is: 3,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.04 : 9,012 = 2,546.72 : x
  2. Step 2: Convert to fraction form
    6,007.04/9,012 = 2,546.72/x
  3. Step 3: Cross multiply
    6,007.04x = 9,012 × 2,546.72
  4. Step 4: Simplify right side
    6,007.04x = 22,951,040.64
  5. Step 5: Solve for x
    x = 22,951,040.64/6,007.04
  6. Step 6: Final answer
    x = 3,820.69

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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.