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Finding the Fourth Proportional to 12,548.52, 17,315.82 and 6,883.02

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Solution

The fourth proportional to 12,548.52, 17,315.82 and 6,883.02 is: 9,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.52 : 17,315.82 = 6,883.02 : x
  2. Step 2: Convert to fraction form
    12,548.52/17,315.82 = 6,883.02/x
  3. Step 3: Cross multiply
    12,548.52x = 17,315.82 × 6,883.02
  4. Step 4: Simplify right side
    12,548.52x = 119,185,135.38
  5. Step 5: Solve for x
    x = 119,185,135.38/12,548.52
  6. Step 6: Final answer
    x = 9,497.94

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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.