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Finding the Fourth Proportional to 11,846, 16,347.48 and 6,878

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Solution

The fourth proportional to 11,846, 16,347.48 and 6,878 is: 9,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846 : 16,347.48 = 6,878 : x
  2. Step 2: Convert to fraction form
    11,846/16,347.48 = 6,878/x
  3. Step 3: Cross multiply
    11,846x = 16,347.48 × 6,878
  4. Step 4: Simplify right side
    11,846x = 112,437,967.44
  5. Step 5: Solve for x
    x = 112,437,967.44/11,846
  6. Step 6: Final answer
    x = 9,491.64

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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.