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Finding the Fourth Proportional to 6,415.88, 9,624.16 and 2,033.68

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Solution

The fourth proportional to 6,415.88, 9,624.16 and 2,033.68 is: 3,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.88 : 9,624.16 = 2,033.68 : x
  2. Step 2: Convert to fraction form
    6,415.88/9,624.16 = 2,033.68/x
  3. Step 3: Cross multiply
    6,415.88x = 9,624.16 × 2,033.68
  4. Step 4: Simplify right side
    6,415.88x = 19,572,458.24
  5. Step 5: Solve for x
    x = 19,572,458.24/6,415.88
  6. Step 6: Final answer
    x = 3,050.63

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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.