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Finding the Fourth Proportional to 12,464.06, 17,200.17 and 6,798.84

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Solution

The fourth proportional to 12,464.06, 17,200.17 and 6,798.84 is: 9,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.06 : 17,200.17 = 6,798.84 : x
  2. Step 2: Convert to fraction form
    12,464.06/17,200.17 = 6,798.84/x
  3. Step 3: Cross multiply
    12,464.06x = 17,200.17 × 6,798.84
  4. Step 4: Simplify right side
    12,464.06x = 116,941,203.80
  5. Step 5: Solve for x
    x = 116,941,203.80/12,464.06
  6. Step 6: Final answer
    x = 9,382.28

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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.