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Finding the Fourth Proportional to 12,548.94, 17,317.72 and 6,884.22

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Solution

The fourth proportional to 12,548.94, 17,317.72 and 6,884.22 is: 9,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.94 : 17,317.72 = 6,884.22 : x
  2. Step 2: Convert to fraction form
    12,548.94/17,317.72 = 6,884.22/x
  3. Step 3: Cross multiply
    12,548.94x = 17,317.72 × 6,884.22
  4. Step 4: Simplify right side
    12,548.94x = 119,218,994.38
  5. Step 5: Solve for x
    x = 119,218,994.38/12,548.94
  6. Step 6: Final answer
    x = 9,500.32

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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.