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Finding the Fourth Proportional to 12,464.14, 17,200.53 and 6,798.89

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Solution

The fourth proportional to 12,464.14, 17,200.53 and 6,798.89 is: 9,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.14 : 17,200.53 = 6,798.89 : x
  2. Step 2: Convert to fraction form
    12,464.14/17,200.53 = 6,798.89/x
  3. Step 3: Cross multiply
    12,464.14x = 17,200.53 × 6,798.89
  4. Step 4: Simplify right side
    12,464.14x = 116,944,511.41
  5. Step 5: Solve for x
    x = 116,944,511.41/12,464.14
  6. Step 6: Final answer
    x = 9,382.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.